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Finding the Fourth Proportional to 100,072.40, 150,110.42 and 33,500.12

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Solution

The fourth proportional to 100,072.40, 150,110.42 and 33,500.12 is: 50,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.40 : 150,110.42 = 33,500.12 : x
  2. Step 2: Convert to fraction form
    100,072.40/150,110.42 = 33,500.12/x
  3. Step 3: Cross multiply
    100,072.40x = 150,110.42 × 33,500.12
  4. Step 4: Simplify right side
    100,072.40x = 5,028,716,165.20
  5. Step 5: Solve for x
    x = 5,028,716,165.20/100,072.40
  6. Step 6: Final answer
    x = 50,250.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.