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Finding the Fourth Proportional to 67,183.92, 100,781.46 and 20,437.20

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Solution

The fourth proportional to 67,183.92, 100,781.46 and 20,437.20 is: 30,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,183.92 : 100,781.46 = 20,437.20 : x
  2. Step 2: Convert to fraction form
    67,183.92/100,781.46 = 20,437.20/x
  3. Step 3: Cross multiply
    67,183.92x = 100,781.46 × 20,437.20
  4. Step 4: Simplify right side
    67,183.92x = 2,059,690,854.31
  5. Step 5: Solve for x
    x = 2,059,690,854.31/67,183.92
  6. Step 6: Final answer
    x = 30,657.50

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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.