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Finding the Fourth Proportional to 83,267.57, 114,906.38 and 47,469.11

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Solution

The fourth proportional to 83,267.57, 114,906.38 and 47,469.11 is: 65,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267.57 : 114,906.38 = 47,469.11 : x
  2. Step 2: Convert to fraction form
    83,267.57/114,906.38 = 47,469.11/x
  3. Step 3: Cross multiply
    83,267.57x = 114,906.38 × 47,469.11
  4. Step 4: Simplify right side
    83,267.57x = 5,454,502,780.04
  5. Step 5: Solve for x
    x = 5,454,502,780.04/83,267.57
  6. Step 6: Final answer
    x = 65,505.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.