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Finding the Fourth Proportional to 41,407.34, 57,142.13 and 22,544.46

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Solution

The fourth proportional to 41,407.34, 57,142.13 and 22,544.46 is: 31,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.34 : 57,142.13 = 22,544.46 : x
  2. Step 2: Convert to fraction form
    41,407.34/57,142.13 = 22,544.46/x
  3. Step 3: Cross multiply
    41,407.34x = 57,142.13 × 22,544.46
  4. Step 4: Simplify right side
    41,407.34x = 1,288,238,351.38
  5. Step 5: Solve for x
    x = 1,288,238,351.38/41,407.34
  6. Step 6: Final answer
    x = 31,111.36

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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.