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Finding the Fourth Proportional to 57,564.50, 86,342.79 and 35,381.30

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Solution

The fourth proportional to 57,564.50, 86,342.79 and 35,381.30 is: 53,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564.50 : 86,342.79 = 35,381.30 : x
  2. Step 2: Convert to fraction form
    57,564.50/86,342.79 = 35,381.30/x
  3. Step 3: Cross multiply
    57,564.50x = 86,342.79 × 35,381.30
  4. Step 4: Simplify right side
    57,564.50x = 3,054,920,155.83
  5. Step 5: Solve for x
    x = 3,054,920,155.83/57,564.50
  6. Step 6: Final answer
    x = 53,069.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.