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Finding the Fourth Proportional to 100,288.12, 150,439.74 and 33,728.44

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Solution

The fourth proportional to 100,288.12, 150,439.74 and 33,728.44 is: 50,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.12 : 150,439.74 = 33,728.44 : x
  2. Step 2: Convert to fraction form
    100,288.12/150,439.74 = 33,728.44/x
  3. Step 3: Cross multiply
    100,288.12x = 150,439.74 × 33,728.44
  4. Step 4: Simplify right side
    100,288.12x = 5,074,097,744.21
  5. Step 5: Solve for x
    x = 5,074,097,744.21/100,288.12
  6. Step 6: Final answer
    x = 50,595.20

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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.