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Finding the Fourth Proportional to 100,397.52, 150,571.02 and 41,249.52

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Solution

The fourth proportional to 100,397.52, 150,571.02 and 41,249.52 is: 61,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.52 : 150,571.02 = 41,249.52 : x
  2. Step 2: Convert to fraction form
    100,397.52/150,571.02 = 41,249.52/x
  3. Step 3: Cross multiply
    100,397.52x = 150,571.02 × 41,249.52
  4. Step 4: Simplify right side
    100,397.52x = 6,210,982,300.91
  5. Step 5: Solve for x
    x = 6,210,982,300.91/100,397.52
  6. Step 6: Final answer
    x = 61,863.90

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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.