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Finding the Fourth Proportional to 100,405.17, 150,564.02 and 33,832.89

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Solution

The fourth proportional to 100,405.17, 150,564.02 and 33,832.89 is: 50,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.17 : 150,564.02 = 33,832.89 : x
  2. Step 2: Convert to fraction form
    100,405.17/150,564.02 = 33,832.89/x
  3. Step 3: Cross multiply
    100,405.17x = 150,564.02 × 33,832.89
  4. Step 4: Simplify right side
    100,405.17x = 5,094,015,757.45
  5. Step 5: Solve for x
    x = 5,094,015,757.45/100,405.17
  6. Step 6: Final answer
    x = 50,734.60

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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.