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Finding the Fourth Proportional to 80,509.12, 120,724.84 and 33,749.44

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Solution

The fourth proportional to 80,509.12, 120,724.84 and 33,749.44 is: 50,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.12 : 120,724.84 = 33,749.44 : x
  2. Step 2: Convert to fraction form
    80,509.12/120,724.84 = 33,749.44/x
  3. Step 3: Cross multiply
    80,509.12x = 120,724.84 × 33,749.44
  4. Step 4: Simplify right side
    80,509.12x = 4,074,395,744.09
  5. Step 5: Solve for x
    x = 4,074,395,744.09/80,509.12
  6. Step 6: Final answer
    x = 50,607.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.