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Finding the Fourth Proportional to 27,824.52, 41,732.72 and 8,097.78

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Solution

The fourth proportional to 27,824.52, 41,732.72 and 8,097.78 is: 12,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.52 : 41,732.72 = 8,097.78 : x
  2. Step 2: Convert to fraction form
    27,824.52/41,732.72 = 8,097.78/x
  3. Step 3: Cross multiply
    27,824.52x = 41,732.72 × 8,097.78
  4. Step 4: Simplify right side
    27,824.52x = 337,942,385.36
  5. Step 5: Solve for x
    x = 337,942,385.36/27,824.52
  6. Step 6: Final answer
    x = 12,145.49

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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.