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Finding the Fourth Proportional to 31,874.42, 47,813.19 and 12,149.30

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Solution

The fourth proportional to 31,874.42, 47,813.19 and 12,149.30 is: 18,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.42 : 47,813.19 = 12,149.30 : x
  2. Step 2: Convert to fraction form
    31,874.42/47,813.19 = 12,149.30/x
  3. Step 3: Cross multiply
    31,874.42x = 47,813.19 × 12,149.30
  4. Step 4: Simplify right side
    31,874.42x = 580,896,789.27
  5. Step 5: Solve for x
    x = 580,896,789.27/31,874.42
  6. Step 6: Final answer
    x = 18,224.54

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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.