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Finding the Fourth Proportional to 80,472.58, 120,709.02 and 27,882.11

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Solution

The fourth proportional to 80,472.58, 120,709.02 and 27,882.11 is: 41,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472.58 : 120,709.02 = 27,882.11 : x
  2. Step 2: Convert to fraction form
    80,472.58/120,709.02 = 27,882.11/x
  3. Step 3: Cross multiply
    80,472.58x = 120,709.02 × 27,882.11
  4. Step 4: Simplify right side
    80,472.58x = 3,365,622,173.63
  5. Step 5: Solve for x
    x = 3,365,622,173.63/80,472.58
  6. Step 6: Final answer
    x = 41,823.22

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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.