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Finding the Fourth Proportional to 54,862.92, 82,308.96 and 17,424

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Solution

The fourth proportional to 54,862.92, 82,308.96 and 17,424 is: 26,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.92 : 82,308.96 = 17,424 : x
  2. Step 2: Convert to fraction form
    54,862.92/82,308.96 = 17,424/x
  3. Step 3: Cross multiply
    54,862.92x = 82,308.96 × 17,424
  4. Step 4: Simplify right side
    54,862.92x = 1,434,151,319.04
  5. Step 5: Solve for x
    x = 1,434,151,319.04/54,862.92
  6. Step 6: Final answer
    x = 26,140.63

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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.