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Finding the Fourth Proportional to 100,467.63, 150,694.16 and 40,500.09

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Solution

The fourth proportional to 100,467.63, 150,694.16 and 40,500.09 is: 60,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467.63 : 150,694.16 = 40,500.09 : x
  2. Step 2: Convert to fraction form
    100,467.63/150,694.16 = 40,500.09/x
  3. Step 3: Cross multiply
    100,467.63x = 150,694.16 × 40,500.09
  4. Step 4: Simplify right side
    100,467.63x = 6,103,126,839.97
  5. Step 5: Solve for x
    x = 6,103,126,839.97/100,467.63
  6. Step 6: Final answer
    x = 60,747.20

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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.