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Finding the Fourth Proportional to 54,732.92, 82,113.96 and 19,672.88

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Solution

The fourth proportional to 54,732.92, 82,113.96 and 19,672.88 is: 29,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732.92 : 82,113.96 = 19,672.88 : x
  2. Step 2: Convert to fraction form
    54,732.92/82,113.96 = 19,672.88/x
  3. Step 3: Cross multiply
    54,732.92x = 82,113.96 × 19,672.88
  4. Step 4: Simplify right side
    54,732.92x = 1,615,418,081.40
  5. Step 5: Solve for x
    x = 1,615,418,081.40/54,732.92
  6. Step 6: Final answer
    x = 29,514.56

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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.