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Finding the Fourth Proportional to 54,452.92, 81,627.54 and 17,491

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Solution

The fourth proportional to 54,452.92, 81,627.54 and 17,491 is: 26,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.92 : 81,627.54 = 17,491 : x
  2. Step 2: Convert to fraction form
    54,452.92/81,627.54 = 17,491/x
  3. Step 3: Cross multiply
    54,452.92x = 81,627.54 × 17,491
  4. Step 4: Simplify right side
    54,452.92x = 1,427,747,302.14
  5. Step 5: Solve for x
    x = 1,427,747,302.14/54,452.92
  6. Step 6: Final answer
    x = 26,219.85

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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.