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Finding the Fourth Proportional to 71,505.60, 98,678.16 and 39,675.12

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Solution

The fourth proportional to 71,505.60, 98,678.16 and 39,675.12 is: 54,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505.60 : 98,678.16 = 39,675.12 : x
  2. Step 2: Convert to fraction form
    71,505.60/98,678.16 = 39,675.12/x
  3. Step 3: Cross multiply
    71,505.60x = 98,678.16 × 39,675.12
  4. Step 4: Simplify right side
    71,505.60x = 3,915,067,839.38
  5. Step 5: Solve for x
    x = 3,915,067,839.38/71,505.60
  6. Step 6: Final answer
    x = 54,751.91

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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.