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Finding the Fourth Proportional to 100,333.89, 150,463.17 and 32,850.36

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Solution

The fourth proportional to 100,333.89, 150,463.17 and 32,850.36 is: 49,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,333.89 : 150,463.17 = 32,850.36 : x
  2. Step 2: Convert to fraction form
    100,333.89/150,463.17 = 32,850.36/x
  3. Step 3: Cross multiply
    100,333.89x = 150,463.17 × 32,850.36
  4. Step 4: Simplify right side
    100,333.89x = 4,942,769,301.24
  5. Step 5: Solve for x
    x = 4,942,769,301.24/100,333.89
  6. Step 6: Final answer
    x = 49,263.21

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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.