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Finding the Fourth Proportional to 83,494.72, 125,229.92 and 24,314.50

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Solution

The fourth proportional to 83,494.72, 125,229.92 and 24,314.50 is: 36,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.72 : 125,229.92 = 24,314.50 : x
  2. Step 2: Convert to fraction form
    83,494.72/125,229.92 = 24,314.50/x
  3. Step 3: Cross multiply
    83,494.72x = 125,229.92 × 24,314.50
  4. Step 4: Simplify right side
    83,494.72x = 3,044,902,637.55
  5. Step 5: Solve for x
    x = 3,044,902,637.55/83,494.72
  6. Step 6: Final answer
    x = 36,468.21

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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.