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Finding the Fourth Proportional to 31,476.88, 47,169.96 and 18,149.34

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Solution

The fourth proportional to 31,476.88, 47,169.96 and 18,149.34 is: 27,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.88 : 47,169.96 = 18,149.34 : x
  2. Step 2: Convert to fraction form
    31,476.88/47,169.96 = 18,149.34/x
  3. Step 3: Cross multiply
    31,476.88x = 47,169.96 × 18,149.34
  4. Step 4: Simplify right side
    31,476.88x = 856,103,641.83
  5. Step 5: Solve for x
    x = 856,103,641.83/31,476.88
  6. Step 6: Final answer
    x = 27,197.86

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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.