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Finding the Fourth Proportional to 31,559.85, 47,348 and 11,838.78

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Solution

The fourth proportional to 31,559.85, 47,348 and 11,838.78 is: 17,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559.85 : 47,348 = 11,838.78 : x
  2. Step 2: Convert to fraction form
    31,559.85/47,348 = 11,838.78/x
  3. Step 3: Cross multiply
    31,559.85x = 47,348 × 11,838.78
  4. Step 4: Simplify right side
    31,559.85x = 560,542,555.44
  5. Step 5: Solve for x
    x = 560,542,555.44/31,559.85
  6. Step 6: Final answer
    x = 17,761.26

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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.