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Finding the Fourth Proportional to 51,882.16, 71,596.60 and 29,221.19

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Solution

The fourth proportional to 51,882.16, 71,596.60 and 29,221.19 is: 40,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882.16 : 71,596.60 = 29,221.19 : x
  2. Step 2: Convert to fraction form
    51,882.16/71,596.60 = 29,221.19/x
  3. Step 3: Cross multiply
    51,882.16x = 71,596.60 × 29,221.19
  4. Step 4: Simplify right side
    51,882.16x = 2,092,137,851.95
  5. Step 5: Solve for x
    x = 2,092,137,851.95/51,882.16
  6. Step 6: Final answer
    x = 40,324.80

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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.