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Finding the Fourth Proportional to 71,517.81, 98,694.25 and 39,686.64

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Solution

The fourth proportional to 71,517.81, 98,694.25 and 39,686.64 is: 54,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.81 : 98,694.25 = 39,686.64 : x
  2. Step 2: Convert to fraction form
    71,517.81/98,694.25 = 39,686.64/x
  3. Step 3: Cross multiply
    71,517.81x = 98,694.25 × 39,686.64
  4. Step 4: Simplify right side
    71,517.81x = 3,916,843,169.82
  5. Step 5: Solve for x
    x = 3,916,843,169.82/71,517.81
  6. Step 6: Final answer
    x = 54,767.38

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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.