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Finding the Fourth Proportional to 71,325, 98,454.42 and 41,517

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Solution

The fourth proportional to 71,325, 98,454.42 and 41,517 is: 57,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,325 : 98,454.42 = 41,517 : x
  2. Step 2: Convert to fraction form
    71,325/98,454.42 = 41,517/x
  3. Step 3: Cross multiply
    71,325x = 98,454.42 × 41,517
  4. Step 4: Simplify right side
    71,325x = 4,087,532,155.14
  5. Step 5: Solve for x
    x = 4,087,532,155.14/71,325
  6. Step 6: Final answer
    x = 57,308.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.