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Finding the Fourth Proportional to 71,959.68, 107,986.22 and 32,517.13

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Solution

The fourth proportional to 71,959.68, 107,986.22 and 32,517.13 is: 48,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,959.68 : 107,986.22 = 32,517.13 : x
  2. Step 2: Convert to fraction form
    71,959.68/107,986.22 = 32,517.13/x
  3. Step 3: Cross multiply
    71,959.68x = 107,986.22 × 32,517.13
  4. Step 4: Simplify right side
    71,959.68x = 3,511,401,953.95
  5. Step 5: Solve for x
    x = 3,511,401,953.95/71,959.68
  6. Step 6: Final answer
    x = 48,796.80

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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.