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Finding the Fourth Proportional to 71,933.78, 107,913.63 and 22,012.98

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Solution

The fourth proportional to 71,933.78, 107,913.63 and 22,012.98 is: 33,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,933.78 : 107,913.63 = 22,012.98 : x
  2. Step 2: Convert to fraction form
    71,933.78/107,913.63 = 22,012.98/x
  3. Step 3: Cross multiply
    71,933.78x = 107,913.63 × 22,012.98
  4. Step 4: Simplify right side
    71,933.78x = 2,375,500,578.92
  5. Step 5: Solve for x
    x = 2,375,500,578.92/71,933.78
  6. Step 6: Final answer
    x = 33,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.