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Finding the Fourth Proportional to 41,859.24, 57,767.04 and 22,996.38

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Solution

The fourth proportional to 41,859.24, 57,767.04 and 22,996.38 is: 31,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859.24 : 57,767.04 = 22,996.38 : x
  2. Step 2: Convert to fraction form
    41,859.24/57,767.04 = 22,996.38/x
  3. Step 3: Cross multiply
    41,859.24x = 57,767.04 × 22,996.38
  4. Step 4: Simplify right side
    41,859.24x = 1,328,432,803.32
  5. Step 5: Solve for x
    x = 1,328,432,803.32/41,859.24
  6. Step 6: Final answer
    x = 31,735.71

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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.