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Finding the Fourth Proportional to 41,444, 62,175.84 and 13,742

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Solution

The fourth proportional to 41,444, 62,175.84 and 13,742 is: 20,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,444 : 62,175.84 = 13,742 : x
  2. Step 2: Convert to fraction form
    41,444/62,175.84 = 13,742/x
  3. Step 3: Cross multiply
    41,444x = 62,175.84 × 13,742
  4. Step 4: Simplify right side
    41,444x = 854,420,393.28
  5. Step 5: Solve for x
    x = 854,420,393.28/41,444
  6. Step 6: Final answer
    x = 20,616.26

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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.