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Finding the Fourth Proportional to 57,613.50, 86,454.27 and 24,331.41

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Solution

The fourth proportional to 57,613.50, 86,454.27 and 24,331.41 is: 36,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,613.50 : 86,454.27 = 24,331.41 : x
  2. Step 2: Convert to fraction form
    57,613.50/86,454.27 = 24,331.41/x
  3. Step 3: Cross multiply
    57,613.50x = 86,454.27 × 24,331.41
  4. Step 4: Simplify right side
    57,613.50x = 2,103,554,289.62
  5. Step 5: Solve for x
    x = 2,103,554,289.62/57,613.50
  6. Step 6: Final answer
    x = 36,511.48

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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.