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Finding the Fourth Proportional to 51,891.38, 71,615.50 and 31,761.68

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Solution

The fourth proportional to 51,891.38, 71,615.50 and 31,761.68 is: 43,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.38 : 71,615.50 = 31,761.68 : x
  2. Step 2: Convert to fraction form
    51,891.38/71,615.50 = 31,761.68/x
  3. Step 3: Cross multiply
    51,891.38x = 71,615.50 × 31,761.68
  4. Step 4: Simplify right side
    51,891.38x = 2,274,628,594.04
  5. Step 5: Solve for x
    x = 2,274,628,594.04/51,891.38
  6. Step 6: Final answer
    x = 43,834.42

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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.