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Finding the Fourth Proportional to 41,805.25, 57,691.25 and 22,942.38

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Solution

The fourth proportional to 41,805.25, 57,691.25 and 22,942.38 is: 31,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805.25 : 57,691.25 = 22,942.38 : x
  2. Step 2: Convert to fraction form
    41,805.25/57,691.25 = 22,942.38/x
  3. Step 3: Cross multiply
    41,805.25x = 57,691.25 × 22,942.38
  4. Step 4: Simplify right side
    41,805.25x = 1,323,574,177.01
  5. Step 5: Solve for x
    x = 1,323,574,177.01/41,805.25
  6. Step 6: Final answer
    x = 31,660.48

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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.