
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Oleum, widely used in chemical technology, consists of a mixture of sulfuric acid $\mathrm{H}_{2}\mathrm{SO}_{4}$, sulfur trioxide $\mathrm{SO}_{3}$, and pyrosulfuric acid $\mathrm{H}_{2}\mathrm{S}_{2}\mathrm{O}_{7}$. We have four different compositions of oleum:

1. $85\% \mathrm{H}_{2}\mathrm{SO}_{4}, 5\% \mathrm{SO}_{3}, 10\% \mathrm{H}_{2}\mathrm{S}_{2}\mathrm{O}_{7}$;
2. $55\% \mathrm{H}_{2}\mathrm{SO}_{4}, 5\% \mathrm{SO}_{3}, 40\% \mathrm{H}_{2}\mathrm{S}_{2}\mathrm{O}_{7}$;
3. $30\% \mathrm{H}_{2}\mathrm{SO}_{4}, 20\% \mathrm{SO}_{3}, 50\% \mathrm{H}_{2}\mathrm{S}_{2}\mathrm{O}_{7}$;
4. $60\% \mathrm{H}_{2}\mathrm{SO}_{4}, 35\% \mathrm{SO}_{3}, 5\% \mathrm{H}_{2}\mathrm{S}_{2}\mathrm{O}_{7}$.

What will be the percentage composition of oleum formed by mixing $24\mathrm{kg}$ of the first mixture, $120\mathrm{kg}$ of the second mixture, $32\mathrm{kg}$ of the third mixture, and $16\mathrm{kg}$ of the fourth mixture?

Present the answer in LaTex format: \boxed{Your answer}
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