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Finding the Fourth Proportional to 51,721.14, 71,375.22 and 29,365.14

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Solution

The fourth proportional to 51,721.14, 71,375.22 and 29,365.14 is: 40,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,721.14 : 71,375.22 = 29,365.14 : x
  2. Step 2: Convert to fraction form
    51,721.14/71,375.22 = 29,365.14/x
  3. Step 3: Cross multiply
    51,721.14x = 71,375.22 × 29,365.14
  4. Step 4: Simplify right side
    51,721.14x = 2,095,943,327.83
  5. Step 5: Solve for x
    x = 2,095,943,327.83/51,721.14
  6. Step 6: Final answer
    x = 40,523.92

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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.