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Finding the Fourth Proportional to 83,847.64, 125,786.88 and 27,691.56

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Solution

The fourth proportional to 83,847.64, 125,786.88 and 27,691.56 is: 41,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847.64 : 125,786.88 = 27,691.56 : x
  2. Step 2: Convert to fraction form
    83,847.64/125,786.88 = 27,691.56/x
  3. Step 3: Cross multiply
    83,847.64x = 125,786.88 × 27,691.56
  4. Step 4: Simplify right side
    83,847.64x = 3,483,234,934.73
  5. Step 5: Solve for x
    x = 3,483,234,934.73/83,847.64
  6. Step 6: Final answer
    x = 41,542.43

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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.