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Finding the Fourth Proportional to 82,871.25, 124,306.89 and 27,467.25

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Solution

The fourth proportional to 82,871.25, 124,306.89 and 27,467.25 is: 41,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.25 : 124,306.89 = 27,467.25 : x
  2. Step 2: Convert to fraction form
    82,871.25/124,306.89 = 27,467.25/x
  3. Step 3: Cross multiply
    82,871.25x = 124,306.89 × 27,467.25
  4. Step 4: Simplify right side
    82,871.25x = 3,414,368,424.35
  5. Step 5: Solve for x
    x = 3,414,368,424.35/82,871.25
  6. Step 6: Final answer
    x = 41,200.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.