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Finding the Fourth Proportional to 100,533.92, 150,775.97 and 33,972.57

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Solution

The fourth proportional to 100,533.92, 150,775.97 and 33,972.57 is: 50,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,533.92 : 150,775.97 = 33,972.57 : x
  2. Step 2: Convert to fraction form
    100,533.92/150,775.97 = 33,972.57/x
  3. Step 3: Cross multiply
    100,533.92x = 150,775.97 × 33,972.57
  4. Step 4: Simplify right side
    100,533.92x = 5,122,247,025.28
  5. Step 5: Solve for x
    x = 5,122,247,025.28/100,533.92
  6. Step 6: Final answer
    x = 50,950.44

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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.