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Finding the Fourth Proportional to 31,042.88, 42,745.92 and 27,806.24

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Solution

The fourth proportional to 31,042.88, 42,745.92 and 27,806.24 is: 38,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.88 : 42,745.92 = 27,806.24 : x
  2. Step 2: Convert to fraction form
    31,042.88/42,745.92 = 27,806.24/x
  3. Step 3: Cross multiply
    31,042.88x = 42,745.92 × 27,806.24
  4. Step 4: Simplify right side
    31,042.88x = 1,188,603,310.54
  5. Step 5: Solve for x
    x = 1,188,603,310.54/31,042.88
  6. Step 6: Final answer
    x = 38,289.08

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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.