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Finding the Fourth Proportional to 83,287.92, 124,931.70 and 24,123.54

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Solution

The fourth proportional to 83,287.92, 124,931.70 and 24,123.54 is: 36,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.92 : 124,931.70 = 24,123.54 : x
  2. Step 2: Convert to fraction form
    83,287.92/124,931.70 = 24,123.54/x
  3. Step 3: Cross multiply
    83,287.92x = 124,931.70 × 24,123.54
  4. Step 4: Simplify right side
    83,287.92x = 3,013,794,862.22
  5. Step 5: Solve for x
    x = 3,013,794,862.22/83,287.92
  6. Step 6: Final answer
    x = 36,185.26

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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.