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Finding the Fourth Proportional to 57,231.64, 85,830 and 39,575.80

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Solution

The fourth proportional to 57,231.64, 85,830 and 39,575.80 is: 59,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231.64 : 85,830 = 39,575.80 : x
  2. Step 2: Convert to fraction form
    57,231.64/85,830 = 39,575.80/x
  3. Step 3: Cross multiply
    57,231.64x = 85,830 × 39,575.80
  4. Step 4: Simplify right side
    57,231.64x = 3,396,790,914.00
  5. Step 5: Solve for x
    x = 3,396,790,914.00/57,231.64
  6. Step 6: Final answer
    x = 59,351.63

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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.