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Finding the Fourth Proportional to 41,174, 61,761 and 13,472

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Solution

The fourth proportional to 41,174, 61,761 and 13,472 is: 20,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174 : 61,761 = 13,472 : x
  2. Step 2: Convert to fraction form
    41,174/61,761 = 13,472/x
  3. Step 3: Cross multiply
    41,174x = 61,761 × 13,472
  4. Step 4: Simplify right side
    41,174x = 832,044,192
  5. Step 5: Solve for x
    x = 832,044,192/41,174
  6. Step 6: Final answer
    x = 20,208

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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.