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Finding the Fourth Proportional to 41,511.34, 57,286.02 and 22,648.78

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Solution

The fourth proportional to 41,511.34, 57,286.02 and 22,648.78 is: 31,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,511.34 : 57,286.02 = 22,648.78 : x
  2. Step 2: Convert to fraction form
    41,511.34/57,286.02 = 22,648.78/x
  3. Step 3: Cross multiply
    41,511.34x = 57,286.02 × 22,648.78
  4. Step 4: Simplify right side
    41,511.34x = 1,297,458,464.06
  5. Step 5: Solve for x
    x = 1,297,458,464.06/41,511.34
  6. Step 6: Final answer
    x = 31,255.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.