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Finding the Fourth Proportional to 29,951.78, 41,370.26 and 22,431.69

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Solution

The fourth proportional to 29,951.78, 41,370.26 and 22,431.69 is: 30,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951.78 : 41,370.26 = 22,431.69 : x
  2. Step 2: Convert to fraction form
    29,951.78/41,370.26 = 22,431.69/x
  3. Step 3: Cross multiply
    29,951.78x = 41,370.26 × 22,431.69
  4. Step 4: Simplify right side
    29,951.78x = 928,004,735.38
  5. Step 5: Solve for x
    x = 928,004,735.38/29,951.78
  6. Step 6: Final answer
    x = 30,983.30

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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.