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Finding the Fourth Proportional to 71,251.64, 98,326.85 and 39,419.85

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Solution

The fourth proportional to 71,251.64, 98,326.85 and 39,419.85 is: 54,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.64 : 98,326.85 = 39,419.85 : x
  2. Step 2: Convert to fraction form
    71,251.64/98,326.85 = 39,419.85/x
  3. Step 3: Cross multiply
    71,251.64x = 98,326.85 × 39,419.85
  4. Step 4: Simplify right side
    71,251.64x = 3,876,029,480.87
  5. Step 5: Solve for x
    x = 3,876,029,480.87/71,251.64
  6. Step 6: Final answer
    x = 54,399.17

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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.