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Finding the Fourth Proportional to 83,451.68, 125,198 and 24,287.88

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Solution

The fourth proportional to 83,451.68, 125,198 and 24,287.88 is: 36,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451.68 : 125,198 = 24,287.88 : x
  2. Step 2: Convert to fraction form
    83,451.68/125,198 = 24,287.88/x
  3. Step 3: Cross multiply
    83,451.68x = 125,198 × 24,287.88
  4. Step 4: Simplify right side
    83,451.68x = 3,040,794,000.24
  5. Step 5: Solve for x
    x = 3,040,794,000.24/83,451.68
  6. Step 6: Final answer
    x = 36,437.78

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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.