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Finding the Fourth Proportional to 90,145.41, 135,217.96 and 33,998.13

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Solution

The fourth proportional to 90,145.41, 135,217.96 and 33,998.13 is: 50,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,145.41 : 135,217.96 = 33,998.13 : x
  2. Step 2: Convert to fraction form
    90,145.41/135,217.96 = 33,998.13/x
  3. Step 3: Cross multiply
    90,145.41x = 135,217.96 × 33,998.13
  4. Step 4: Simplify right side
    90,145.41x = 4,597,157,697.42
  5. Step 5: Solve for x
    x = 4,597,157,697.42/90,145.41
  6. Step 6: Final answer
    x = 50,997.14

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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.