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Finding the Fourth Proportional to 54,952.61, 82,428.01 and 17,512.17

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Solution

The fourth proportional to 54,952.61, 82,428.01 and 17,512.17 is: 26,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.61 : 82,428.01 = 17,512.17 : x
  2. Step 2: Convert to fraction form
    54,952.61/82,428.01 = 17,512.17/x
  3. Step 3: Cross multiply
    54,952.61x = 82,428.01 × 17,512.17
  4. Step 4: Simplify right side
    54,952.61x = 1,443,493,323.88
  5. Step 5: Solve for x
    x = 1,443,493,323.88/54,952.61
  6. Step 6: Final answer
    x = 26,267.97

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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.