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Finding the Fourth Proportional to 71,732.49, 98,982.30 and 41,519.08

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Solution

The fourth proportional to 71,732.49, 98,982.30 and 41,519.08 is: 57,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,732.49 : 98,982.30 = 41,519.08 : x
  2. Step 2: Convert to fraction form
    71,732.49/98,982.30 = 41,519.08/x
  3. Step 3: Cross multiply
    71,732.49x = 98,982.30 × 41,519.08
  4. Step 4: Simplify right side
    71,732.49x = 4,109,654,032.28
  5. Step 5: Solve for x
    x = 4,109,654,032.28/71,732.49
  6. Step 6: Final answer
    x = 57,291.39

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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.