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Finding the Fourth Proportional to 100,511.84, 150,735.74 and 33,028.20

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Solution

The fourth proportional to 100,511.84, 150,735.74 and 33,028.20 is: 49,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,511.84 : 150,735.74 = 33,028.20 : x
  2. Step 2: Convert to fraction form
    100,511.84/150,735.74 = 33,028.20/x
  3. Step 3: Cross multiply
    100,511.84x = 150,735.74 × 33,028.20
  4. Step 4: Simplify right side
    100,511.84x = 4,978,530,167.87
  5. Step 5: Solve for x
    x = 4,978,530,167.87/100,511.84
  6. Step 6: Final answer
    x = 49,531.78

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1.5x scale

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.