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Finding the Fourth Proportional to 83,116.50, 124,591.60 and 29,793.97

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Solution

The fourth proportional to 83,116.50, 124,591.60 and 29,793.97 is: 44,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.50 : 124,591.60 = 29,793.97 : x
  2. Step 2: Convert to fraction form
    83,116.50/124,591.60 = 29,793.97/x
  3. Step 3: Cross multiply
    83,116.50x = 124,591.60 × 29,793.97
  4. Step 4: Simplify right side
    83,116.50x = 3,712,078,392.65
  5. Step 5: Solve for x
    x = 3,712,078,392.65/83,116.50
  6. Step 6: Final answer
    x = 44,661.15

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Why These Related Problems?

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