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Finding the Fourth Proportional to 54,687.98, 82,033.74 and 17,248.41

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Solution

The fourth proportional to 54,687.98, 82,033.74 and 17,248.41 is: 25,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,687.98 : 82,033.74 = 17,248.41 : x
  2. Step 2: Convert to fraction form
    54,687.98/82,033.74 = 17,248.41/x
  3. Step 3: Cross multiply
    54,687.98x = 82,033.74 × 17,248.41
  4. Step 4: Simplify right side
    54,687.98x = 1,414,951,581.35
  5. Step 5: Solve for x
    x = 1,414,951,581.35/54,687.98
  6. Step 6: Final answer
    x = 25,873.17

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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.