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Finding the Fourth Proportional to 83,780.50, 125,690.80 and 24,614.86

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Solution

The fourth proportional to 83,780.50, 125,690.80 and 24,614.86 is: 36,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.50 : 125,690.80 = 24,614.86 : x
  2. Step 2: Convert to fraction form
    83,780.50/125,690.80 = 24,614.86/x
  3. Step 3: Cross multiply
    83,780.50x = 125,690.80 × 24,614.86
  4. Step 4: Simplify right side
    83,780.50x = 3,093,861,445.29
  5. Step 5: Solve for x
    x = 3,093,861,445.29/83,780.50
  6. Step 6: Final answer
    x = 36,928.18

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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.