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Finding the Fourth Proportional to 51,687.87, 71,340.38 and 31,540.44

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Solution

The fourth proportional to 51,687.87, 71,340.38 and 31,540.44 is: 43,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,687.87 : 71,340.38 = 31,540.44 : x
  2. Step 2: Convert to fraction form
    51,687.87/71,340.38 = 31,540.44/x
  3. Step 3: Cross multiply
    51,687.87x = 71,340.38 × 31,540.44
  4. Step 4: Simplify right side
    51,687.87x = 2,250,106,817.27
  5. Step 5: Solve for x
    x = 2,250,106,817.27/51,687.87
  6. Step 6: Final answer
    x = 43,532.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.