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Finding the Fourth Proportional to 83,462.92, 125,217.14 and 30,161.16

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Solution

The fourth proportional to 83,462.92, 125,217.14 and 30,161.16 is: 45,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.92 : 125,217.14 = 30,161.16 : x
  2. Step 2: Convert to fraction form
    83,462.92/125,217.14 = 30,161.16/x
  3. Step 3: Cross multiply
    83,462.92x = 125,217.14 × 30,161.16
  4. Step 4: Simplify right side
    83,462.92x = 3,776,694,194.28
  5. Step 5: Solve for x
    x = 3,776,694,194.28/83,462.92
  6. Step 6: Final answer
    x = 45,249.96

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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.