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Finding the Fourth Proportional to 41,744, 62,616 and 14,042

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Solution

The fourth proportional to 41,744, 62,616 and 14,042 is: 21,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,744 : 62,616 = 14,042 : x
  2. Step 2: Convert to fraction form
    41,744/62,616 = 14,042/x
  3. Step 3: Cross multiply
    41,744x = 62,616 × 14,042
  4. Step 4: Simplify right side
    41,744x = 879,253,872
  5. Step 5: Solve for x
    x = 879,253,872/41,744
  6. Step 6: Final answer
    x = 21,063

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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.