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Finding the Fourth Proportional to 27,049.60, 40,578 and 8,330.96

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Solution

The fourth proportional to 27,049.60, 40,578 and 8,330.96 is: 12,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.60 : 40,578 = 8,330.96 : x
  2. Step 2: Convert to fraction form
    27,049.60/40,578 = 8,330.96/x
  3. Step 3: Cross multiply
    27,049.60x = 40,578 × 8,330.96
  4. Step 4: Simplify right side
    27,049.60x = 338,053,694.88
  5. Step 5: Solve for x
    x = 338,053,694.88/27,049.60
  6. Step 6: Final answer
    x = 12,497.55

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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.