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Finding the Fourth Proportional to 80,191.72, 120,298.74 and 33,433.84

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Solution

The fourth proportional to 80,191.72, 120,298.74 and 33,433.84 is: 50,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,191.72 : 120,298.74 = 33,433.84 : x
  2. Step 2: Convert to fraction form
    80,191.72/120,298.74 = 33,433.84/x
  3. Step 3: Cross multiply
    80,191.72x = 120,298.74 × 33,433.84
  4. Step 4: Simplify right side
    80,191.72x = 4,022,048,825.36
  5. Step 5: Solve for x
    x = 4,022,048,825.36/80,191.72
  6. Step 6: Final answer
    x = 50,155.41

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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.