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Finding the Fourth Proportional to 31,745.64, 47,613.87 and 22,229.10

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Solution

The fourth proportional to 31,745.64, 47,613.87 and 22,229.10 is: 33,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.64 : 47,613.87 = 22,229.10 : x
  2. Step 2: Convert to fraction form
    31,745.64/47,613.87 = 22,229.10/x
  3. Step 3: Cross multiply
    31,745.64x = 47,613.87 × 22,229.10
  4. Step 4: Simplify right side
    31,745.64x = 1,058,413,477.62
  5. Step 5: Solve for x
    x = 1,058,413,477.62/31,745.64
  6. Step 6: Final answer
    x = 33,340.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.