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Finding the Fourth Proportional to 51,722.69, 71,377.20 and 30,227.31

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Solution

The fourth proportional to 51,722.69, 71,377.20 and 30,227.31 is: 41,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.69 : 71,377.20 = 30,227.31 : x
  2. Step 2: Convert to fraction form
    51,722.69/71,377.20 = 30,227.31/x
  3. Step 3: Cross multiply
    51,722.69x = 71,377.20 × 30,227.31
  4. Step 4: Simplify right side
    51,722.69x = 2,157,540,751.33
  5. Step 5: Solve for x
    x = 2,157,540,751.33/51,722.69
  6. Step 6: Final answer
    x = 41,713.63

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