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Finding the Fourth Proportional to 41,678, 62,517 and 12,494

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Solution

The fourth proportional to 41,678, 62,517 and 12,494 is: 18,741

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 62,517 = 12,494 : x
  2. Step 2: Convert to fraction form
    41,678/62,517 = 12,494/x
  3. Step 3: Cross multiply
    41,678x = 62,517 × 12,494
  4. Step 4: Simplify right side
    41,678x = 781,087,398
  5. Step 5: Solve for x
    x = 781,087,398/41,678
  6. Step 6: Final answer
    x = 18,741

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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.