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Finding the Fourth Proportional to 54,691.76, 82,082.16 and 28,404.08

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Solution

The fourth proportional to 54,691.76, 82,082.16 and 28,404.08 is: 42,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.76 : 82,082.16 = 28,404.08 : x
  2. Step 2: Convert to fraction form
    54,691.76/82,082.16 = 28,404.08/x
  3. Step 3: Cross multiply
    54,691.76x = 82,082.16 × 28,404.08
  4. Step 4: Simplify right side
    54,691.76x = 2,331,468,239.21
  5. Step 5: Solve for x
    x = 2,331,468,239.21/54,691.76
  6. Step 6: Final answer
    x = 42,629.24

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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.