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Finding the Fourth Proportional to 106,687.92, 159,976.73 and 39,202.73

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Solution

The fourth proportional to 106,687.92, 159,976.73 and 39,202.73 is: 58,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.92 : 159,976.73 = 39,202.73 : x
  2. Step 2: Convert to fraction form
    106,687.92/159,976.73 = 39,202.73/x
  3. Step 3: Cross multiply
    106,687.92x = 159,976.73 × 39,202.73
  4. Step 4: Simplify right side
    106,687.92x = 6,271,524,756.40
  5. Step 5: Solve for x
    x = 6,271,524,756.40/106,687.92
  6. Step 6: Final answer
    x = 58,783.83

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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.