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Finding the Fourth Proportional to 41,234, 61,861.56 and 13,532.24

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Solution

The fourth proportional to 41,234, 61,861.56 and 13,532.24 is: 20,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234 : 61,861.56 = 13,532.24 : x
  2. Step 2: Convert to fraction form
    41,234/61,861.56 = 13,532.24/x
  3. Step 3: Cross multiply
    41,234x = 61,861.56 × 13,532.24
  4. Step 4: Simplify right side
    41,234x = 837,125,476.69
  5. Step 5: Solve for x
    x = 837,125,476.69/41,234
  6. Step 6: Final answer
    x = 20,301.83

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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.