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Finding the Fourth Proportional to 38,578.38, 53,255.48 and 22,663.82

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Solution

The fourth proportional to 38,578.38, 53,255.48 and 22,663.82 is: 31,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.38 : 53,255.48 = 22,663.82 : x
  2. Step 2: Convert to fraction form
    38,578.38/53,255.48 = 22,663.82/x
  3. Step 3: Cross multiply
    38,578.38x = 53,255.48 × 22,663.82
  4. Step 4: Simplify right side
    38,578.38x = 1,206,972,233.14
  5. Step 5: Solve for x
    x = 1,206,972,233.14/38,578.38
  6. Step 6: Final answer
    x = 31,286.23

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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.