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Finding the Fourth Proportional to 51,806.44, 71,494.50 and 29,451.88

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Solution

The fourth proportional to 51,806.44, 71,494.50 and 29,451.88 is: 40,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.44 : 71,494.50 = 29,451.88 : x
  2. Step 2: Convert to fraction form
    51,806.44/71,494.50 = 29,451.88/x
  3. Step 3: Cross multiply
    51,806.44x = 71,494.50 × 29,451.88
  4. Step 4: Simplify right side
    51,806.44x = 2,105,647,434.66
  5. Step 5: Solve for x
    x = 2,105,647,434.66/51,806.44
  6. Step 6: Final answer
    x = 40,644.51

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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.