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Finding the Fourth Proportional to 100,410.44, 150,519.94 and 33,816.30

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Solution

The fourth proportional to 100,410.44, 150,519.94 and 33,816.30 is: 50,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.44 : 150,519.94 = 33,816.30 : x
  2. Step 2: Convert to fraction form
    100,410.44/150,519.94 = 33,816.30/x
  3. Step 3: Cross multiply
    100,410.44x = 150,519.94 × 33,816.30
  4. Step 4: Simplify right side
    100,410.44x = 5,090,027,447.02
  5. Step 5: Solve for x
    x = 5,090,027,447.02/100,410.44
  6. Step 6: Final answer
    x = 50,692.21

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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.