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Finding the Fourth Proportional to 31,753.44, 43,819.38 and 18,324.41

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Solution

The fourth proportional to 31,753.44, 43,819.38 and 18,324.41 is: 25,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.44 : 43,819.38 = 18,324.41 : x
  2. Step 2: Convert to fraction form
    31,753.44/43,819.38 = 18,324.41/x
  3. Step 3: Cross multiply
    31,753.44x = 43,819.38 × 18,324.41
  4. Step 4: Simplify right side
    31,753.44x = 802,964,065.97
  5. Step 5: Solve for x
    x = 802,964,065.97/31,753.44
  6. Step 6: Final answer
    x = 25,287.47

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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.