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Finding the Fourth Proportional to 71,716.38, 98,967.20 and 39,884.60

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Solution

The fourth proportional to 71,716.38, 98,967.20 and 39,884.60 is: 55,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,716.38 : 98,967.20 = 39,884.60 : x
  2. Step 2: Convert to fraction form
    71,716.38/98,967.20 = 39,884.60/x
  3. Step 3: Cross multiply
    71,716.38x = 98,967.20 × 39,884.60
  4. Step 4: Simplify right side
    71,716.38x = 3,947,267,185.12
  5. Step 5: Solve for x
    x = 3,947,267,185.12/71,716.38
  6. Step 6: Final answer
    x = 55,039.97

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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.