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Finding the Fourth Proportional to 41,455, 62,182.68 and 13,753

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Solution

The fourth proportional to 41,455, 62,182.68 and 13,753 is: 20,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,455 : 62,182.68 = 13,753 : x
  2. Step 2: Convert to fraction form
    41,455/62,182.68 = 13,753/x
  3. Step 3: Cross multiply
    41,455x = 62,182.68 × 13,753
  4. Step 4: Simplify right side
    41,455x = 855,198,398.04
  5. Step 5: Solve for x
    x = 855,198,398.04/41,455
  6. Step 6: Final answer
    x = 20,629.56

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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.