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Finding the Fourth Proportional to 100,614.09, 150,912.39 and 34,052.73

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Solution

The fourth proportional to 100,614.09, 150,912.39 and 34,052.73 is: 51,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.09 : 150,912.39 = 34,052.73 : x
  2. Step 2: Convert to fraction form
    100,614.09/150,912.39 = 34,052.73/x
  3. Step 3: Cross multiply
    100,614.09x = 150,912.39 × 34,052.73
  4. Step 4: Simplify right side
    100,614.09x = 5,138,978,870.32
  5. Step 5: Solve for x
    x = 5,138,978,870.32/100,614.09
  6. Step 6: Final answer
    x = 51,076.14

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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.