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Finding the Fourth Proportional to 31,379.43, 47,091.83 and 18,214.23

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Solution

The fourth proportional to 31,379.43, 47,091.83 and 18,214.23 is: 27,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.43 : 47,091.83 = 18,214.23 : x
  2. Step 2: Convert to fraction form
    31,379.43/47,091.83 = 18,214.23/x
  3. Step 3: Cross multiply
    31,379.43x = 47,091.83 × 18,214.23
  4. Step 4: Simplify right side
    31,379.43x = 857,741,422.74
  5. Step 5: Solve for x
    x = 857,741,422.74/31,379.43
  6. Step 6: Final answer
    x = 27,334.51

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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.