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Finding the Fourth Proportional to 92,407.52, 138,626.22 and 36,217.16

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Solution

The fourth proportional to 92,407.52, 138,626.22 and 36,217.16 is: 54,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407.52 : 138,626.22 = 36,217.16 : x
  2. Step 2: Convert to fraction form
    92,407.52/138,626.22 = 36,217.16/x
  3. Step 3: Cross multiply
    92,407.52x = 138,626.22 × 36,217.16
  4. Step 4: Simplify right side
    92,407.52x = 5,020,647,296.80
  5. Step 5: Solve for x
    x = 5,020,647,296.80/92,407.52
  6. Step 6: Final answer
    x = 54,331.59

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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.