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Finding the Fourth Proportional to 70,706.38, 106,059.60 and 20,786.48

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Solution

The fourth proportional to 70,706.38, 106,059.60 and 20,786.48 is: 31,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.38 : 106,059.60 = 20,786.48 : x
  2. Step 2: Convert to fraction form
    70,706.38/106,059.60 = 20,786.48/x
  3. Step 3: Cross multiply
    70,706.38x = 106,059.60 × 20,786.48
  4. Step 4: Simplify right side
    70,706.38x = 2,204,605,754.21
  5. Step 5: Solve for x
    x = 2,204,605,754.21/70,706.38
  6. Step 6: Final answer
    x = 31,179.73

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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.