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Finding the Fourth Proportional to 100,101.20, 150,047.24 and 33,486.57

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Solution

The fourth proportional to 100,101.20, 150,047.24 and 33,486.57 is: 50,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,101.20 : 150,047.24 = 33,486.57 : x
  2. Step 2: Convert to fraction form
    100,101.20/150,047.24 = 33,486.57/x
  3. Step 3: Cross multiply
    100,101.20x = 150,047.24 × 33,486.57
  4. Step 4: Simplify right side
    100,101.20x = 5,024,567,238.13
  5. Step 5: Solve for x
    x = 5,024,567,238.13/100,101.20
  6. Step 6: Final answer
    x = 50,194.88

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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.