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Finding the Fourth Proportional to 101,009.75, 151,536.50 and 38,680.25

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Solution

The fourth proportional to 101,009.75, 151,536.50 and 38,680.25 is: 58,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,009.75 : 151,536.50 = 38,680.25 : x
  2. Step 2: Convert to fraction form
    101,009.75/151,536.50 = 38,680.25/x
  3. Step 3: Cross multiply
    101,009.75x = 151,536.50 × 38,680.25
  4. Step 4: Simplify right side
    101,009.75x = 5,861,469,704.13
  5. Step 5: Solve for x
    x = 5,861,469,704.13/101,009.75
  6. Step 6: Final answer
    x = 58,028.75

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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.