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Finding the Fourth Proportional to 54,979.68, 82,467.97 and 17,542

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Solution

The fourth proportional to 54,979.68, 82,467.97 and 17,542 is: 26,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,979.68 : 82,467.97 = 17,542 : x
  2. Step 2: Convert to fraction form
    54,979.68/82,467.97 = 17,542/x
  3. Step 3: Cross multiply
    54,979.68x = 82,467.97 × 17,542
  4. Step 4: Simplify right side
    54,979.68x = 1,446,653,129.74
  5. Step 5: Solve for x
    x = 1,446,653,129.74/54,979.68
  6. Step 6: Final answer
    x = 26,312.51

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