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Finding the Fourth Proportional to 41,502.88, 57,273.92 and 22,640

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Solution

The fourth proportional to 41,502.88, 57,273.92 and 22,640 is: 31,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,502.88 : 57,273.92 = 22,640 : x
  2. Step 2: Convert to fraction form
    41,502.88/57,273.92 = 22,640/x
  3. Step 3: Cross multiply
    41,502.88x = 57,273.92 × 22,640
  4. Step 4: Simplify right side
    41,502.88x = 1,296,681,548.80
  5. Step 5: Solve for x
    x = 1,296,681,548.80/41,502.88
  6. Step 6: Final answer
    x = 31,243.17

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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.