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Finding the Fourth Proportional to 80,145.56, 120,229.28 and 33,387.50

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Solution

The fourth proportional to 80,145.56, 120,229.28 and 33,387.50 is: 50,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,145.56 : 120,229.28 = 33,387.50 : x
  2. Step 2: Convert to fraction form
    80,145.56/120,229.28 = 33,387.50/x
  3. Step 3: Cross multiply
    80,145.56x = 120,229.28 × 33,387.50
  4. Step 4: Simplify right side
    80,145.56x = 4,014,155,086
  5. Step 5: Solve for x
    x = 4,014,155,086/80,145.56
  6. Step 6: Final answer
    x = 50,085.81

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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.