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Finding the Fourth Proportional to 70,786.56, 106,105.80 and 26,394

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Solution

The fourth proportional to 70,786.56, 106,105.80 and 26,394 is: 39,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,786.56 : 106,105.80 = 26,394 : x
  2. Step 2: Convert to fraction form
    70,786.56/106,105.80 = 26,394/x
  3. Step 3: Cross multiply
    70,786.56x = 106,105.80 × 26,394
  4. Step 4: Simplify right side
    70,786.56x = 2,800,556,485.20
  5. Step 5: Solve for x
    x = 2,800,556,485.20/70,786.56
  6. Step 6: Final answer
    x = 39,563.39

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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.