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Finding the Fourth Proportional to 83,660.73, 125,481.92 and 24,496.98

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Solution

The fourth proportional to 83,660.73, 125,481.92 and 24,496.98 is: 36,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660.73 : 125,481.92 = 24,496.98 : x
  2. Step 2: Convert to fraction form
    83,660.73/125,481.92 = 24,496.98/x
  3. Step 3: Cross multiply
    83,660.73x = 125,481.92 × 24,496.98
  4. Step 4: Simplify right side
    83,660.73x = 3,073,927,962.12
  5. Step 5: Solve for x
    x = 3,073,927,962.12/83,660.73
  6. Step 6: Final answer
    x = 36,742.78

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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.