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Finding the Fourth Proportional to 80,148.96, 120,236.40 and 33,406.56

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Solution

The fourth proportional to 80,148.96, 120,236.40 and 33,406.56 is: 50,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148.96 : 120,236.40 = 33,406.56 : x
  2. Step 2: Convert to fraction form
    80,148.96/120,236.40 = 33,406.56/x
  3. Step 3: Cross multiply
    80,148.96x = 120,236.40 × 33,406.56
  4. Step 4: Simplify right side
    80,148.96x = 4,016,684,510.78
  5. Step 5: Solve for x
    x = 4,016,684,510.78/80,148.96
  6. Step 6: Final answer
    x = 50,115.24

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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.