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Finding the Fourth Proportional to 100,546.22, 150,819.78 and 33,986.70

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Solution

The fourth proportional to 100,546.22, 150,819.78 and 33,986.70 is: 50,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.22 : 150,819.78 = 33,986.70 : x
  2. Step 2: Convert to fraction form
    100,546.22/150,819.78 = 33,986.70/x
  3. Step 3: Cross multiply
    100,546.22x = 150,819.78 × 33,986.70
  4. Step 4: Simplify right side
    100,546.22x = 5,125,866,616.93
  5. Step 5: Solve for x
    x = 5,125,866,616.93/100,546.22
  6. Step 6: Final answer
    x = 50,980.20

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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.