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Finding the Fourth Proportional to 57,642.31, 86,490.20 and 24,370.14

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Solution

The fourth proportional to 57,642.31, 86,490.20 and 24,370.14 is: 36,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.31 : 86,490.20 = 24,370.14 : x
  2. Step 2: Convert to fraction form
    57,642.31/86,490.20 = 24,370.14/x
  3. Step 3: Cross multiply
    57,642.31x = 86,490.20 × 24,370.14
  4. Step 4: Simplify right side
    57,642.31x = 2,107,778,160.78
  5. Step 5: Solve for x
    x = 2,107,778,160.78/57,642.31
  6. Step 6: Final answer
    x = 36,566.51

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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.