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Finding the Fourth Proportional to 30,067.38, 41,467.82 and 22,531.41

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Solution

The fourth proportional to 30,067.38, 41,467.82 and 22,531.41 is: 31,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067.38 : 41,467.82 = 22,531.41 : x
  2. Step 2: Convert to fraction form
    30,067.38/41,467.82 = 22,531.41/x
  3. Step 3: Cross multiply
    30,067.38x = 41,467.82 × 22,531.41
  4. Step 4: Simplify right side
    30,067.38x = 934,328,341.57
  5. Step 5: Solve for x
    x = 934,328,341.57/30,067.38
  6. Step 6: Final answer
    x = 31,074.48

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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.