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Finding the Fourth Proportional to 41,951.80, 57,891.78 and 23,089

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Solution

The fourth proportional to 41,951.80, 57,891.78 and 23,089 is: 31,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,951.80 : 57,891.78 = 23,089 : x
  2. Step 2: Convert to fraction form
    41,951.80/57,891.78 = 23,089/x
  3. Step 3: Cross multiply
    41,951.80x = 57,891.78 × 23,089
  4. Step 4: Simplify right side
    41,951.80x = 1,336,663,308.42
  5. Step 5: Solve for x
    x = 1,336,663,308.42/41,951.80
  6. Step 6: Final answer
    x = 31,861.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.