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Finding the Fourth Proportional to 54,754.77, 82,132.17 and 19,243.97

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Solution

The fourth proportional to 54,754.77, 82,132.17 and 19,243.97 is: 28,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754.77 : 82,132.17 = 19,243.97 : x
  2. Step 2: Convert to fraction form
    54,754.77/82,132.17 = 19,243.97/x
  3. Step 3: Cross multiply
    54,754.77x = 82,132.17 × 19,243.97
  4. Step 4: Simplify right side
    54,754.77x = 1,580,548,508.63
  5. Step 5: Solve for x
    x = 1,580,548,508.63/54,754.77
  6. Step 6: Final answer
    x = 28,865.95

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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.