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Finding the Fourth Proportional to 41,638, 62,452.40 and 10,473.24

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Solution

The fourth proportional to 41,638, 62,452.40 and 10,473.24 is: 15,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638 : 62,452.40 = 10,473.24 : x
  2. Step 2: Convert to fraction form
    41,638/62,452.40 = 10,473.24/x
  3. Step 3: Cross multiply
    41,638x = 62,452.40 × 10,473.24
  4. Step 4: Simplify right side
    41,638x = 654,078,973.78
  5. Step 5: Solve for x
    x = 654,078,973.78/41,638
  6. Step 6: Final answer
    x = 15,708.70

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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.