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Finding the Fourth Proportional to 100,568.52, 150,872.22 and 34,019.46

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Solution

The fourth proportional to 100,568.52, 150,872.22 and 34,019.46 is: 51,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,568.52 : 150,872.22 = 34,019.46 : x
  2. Step 2: Convert to fraction form
    100,568.52/150,872.22 = 34,019.46/x
  3. Step 3: Cross multiply
    100,568.52x = 150,872.22 × 34,019.46
  4. Step 4: Simplify right side
    100,568.52x = 5,132,591,453.40
  5. Step 5: Solve for x
    x = 5,132,591,453.40/100,568.52
  6. Step 6: Final answer
    x = 51,035.77

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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.