
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
In a survey conducted by Jane, $78.4\%$ of the participants believed that squirrels cause property damage. Among these participants, $52.5\%$ incorrectly believed that squirrels frequently cause electrical fires. Given that these 31 participants were mistaken, find the total number of people Jane surveyed.

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