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Finding the Fourth Proportional to 54,910.62, 82,169.10 and 47,540.52

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Solution

The fourth proportional to 54,910.62, 82,169.10 and 47,540.52 is: 71,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910.62 : 82,169.10 = 47,540.52 : x
  2. Step 2: Convert to fraction form
    54,910.62/82,169.10 = 47,540.52/x
  3. Step 3: Cross multiply
    54,910.62x = 82,169.10 × 47,540.52
  4. Step 4: Simplify right side
    54,910.62x = 3,906,361,741.93
  5. Step 5: Solve for x
    x = 3,906,361,741.93/54,910.62
  6. Step 6: Final answer
    x = 71,140.37

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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.