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Finding the Fourth Proportional to 59,613.23, 82,229.74 and 35,397.74

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Solution

The fourth proportional to 59,613.23, 82,229.74 and 35,397.74 is: 48,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,613.23 : 82,229.74 = 35,397.74 : x
  2. Step 2: Convert to fraction form
    59,613.23/82,229.74 = 35,397.74/x
  3. Step 3: Cross multiply
    59,613.23x = 82,229.74 × 35,397.74
  4. Step 4: Simplify right side
    59,613.23x = 2,910,747,073.87
  5. Step 5: Solve for x
    x = 2,910,747,073.87/59,613.23
  6. Step 6: Final answer
    x = 48,827.20

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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.