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Finding the Fourth Proportional to 74,489.97, 111,711.16 and 24,560.76

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Solution

The fourth proportional to 74,489.97, 111,711.16 and 24,560.76 is: 36,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,489.97 : 111,711.16 = 24,560.76 : x
  2. Step 2: Convert to fraction form
    74,489.97/111,711.16 = 24,560.76/x
  3. Step 3: Cross multiply
    74,489.97x = 111,711.16 × 24,560.76
  4. Step 4: Simplify right side
    74,489.97x = 2,743,710,990.08
  5. Step 5: Solve for x
    x = 2,743,710,990.08/74,489.97
  6. Step 6: Final answer
    x = 36,833.29

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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.