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Finding the Fourth Proportional to 71,540.73, 98,744.13 and 41,343.57

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Solution

The fourth proportional to 71,540.73, 98,744.13 and 41,343.57 is: 57,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.73 : 98,744.13 = 41,343.57 : x
  2. Step 2: Convert to fraction form
    71,540.73/98,744.13 = 41,343.57/x
  3. Step 3: Cross multiply
    71,540.73x = 98,744.13 × 41,343.57
  4. Step 4: Simplify right side
    71,540.73x = 4,082,434,850.74
  5. Step 5: Solve for x
    x = 4,082,434,850.74/71,540.73
  6. Step 6: Final answer
    x = 57,064.48

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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.