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Finding the Fourth Proportional to 83,229.92, 124,826.40 and 24,052.64

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Solution

The fourth proportional to 83,229.92, 124,826.40 and 24,052.64 is: 36,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.92 : 124,826.40 = 24,052.64 : x
  2. Step 2: Convert to fraction form
    83,229.92/124,826.40 = 24,052.64/x
  3. Step 3: Cross multiply
    83,229.92x = 124,826.40 × 24,052.64
  4. Step 4: Simplify right side
    83,229.92x = 3,002,404,461.70
  5. Step 5: Solve for x
    x = 3,002,404,461.70/83,229.92
  6. Step 6: Final answer
    x = 36,073.62

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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.