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Finding the Fourth Proportional to 80,563.44, 120,858.12 and 33,829.68

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Solution

The fourth proportional to 80,563.44, 120,858.12 and 33,829.68 is: 50,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,563.44 : 120,858.12 = 33,829.68 : x
  2. Step 2: Convert to fraction form
    80,563.44/120,858.12 = 33,829.68/x
  3. Step 3: Cross multiply
    80,563.44x = 120,858.12 × 33,829.68
  4. Step 4: Simplify right side
    80,563.44x = 4,088,591,525.00
  5. Step 5: Solve for x
    x = 4,088,591,525.00/80,563.44
  6. Step 6: Final answer
    x = 50,749.96

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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.