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Finding the Fourth Proportional to 106,227.56, 159,242.92 and 36,057.67

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Solution

The fourth proportional to 106,227.56, 159,242.92 and 36,057.67 is: 54,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227.56 : 159,242.92 = 36,057.67 : x
  2. Step 2: Convert to fraction form
    106,227.56/159,242.92 = 36,057.67/x
  3. Step 3: Cross multiply
    106,227.56x = 159,242.92 × 36,057.67
  4. Step 4: Simplify right side
    106,227.56x = 5,741,928,659.20
  5. Step 5: Solve for x
    x = 5,741,928,659.20/106,227.56
  6. Step 6: Final answer
    x = 54,053.10

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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.