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Finding the Fourth Proportional to 82,485.97, 113,691.87 and 63,098.21

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Solution

The fourth proportional to 82,485.97, 113,691.87 and 63,098.21 is: 86,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,485.97 : 113,691.87 = 63,098.21 : x
  2. Step 2: Convert to fraction form
    82,485.97/113,691.87 = 63,098.21/x
  3. Step 3: Cross multiply
    82,485.97x = 113,691.87 × 63,098.21
  4. Step 4: Simplify right side
    82,485.97x = 7,173,753,772.78
  5. Step 5: Solve for x
    x = 7,173,753,772.78/82,485.97
  6. Step 6: Final answer
    x = 86,969.38

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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.