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Finding the Fourth Proportional to 71,723.38, 98,976.86 and 39,891.60

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Solution

The fourth proportional to 71,723.38, 98,976.86 and 39,891.60 is: 55,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.38 : 98,976.86 = 39,891.60 : x
  2. Step 2: Convert to fraction form
    71,723.38/98,976.86 = 39,891.60/x
  3. Step 3: Cross multiply
    71,723.38x = 98,976.86 × 39,891.60
  4. Step 4: Simplify right side
    71,723.38x = 3,948,345,308.38
  5. Step 5: Solve for x
    x = 3,948,345,308.38/71,723.38
  6. Step 6: Final answer
    x = 55,049.63

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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.