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Finding the Fourth Proportional to 27,469.68, 41,202.40 and 8,750.78

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Solution

The fourth proportional to 27,469.68, 41,202.40 and 8,750.78 is: 13,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.68 : 41,202.40 = 8,750.78 : x
  2. Step 2: Convert to fraction form
    27,469.68/41,202.40 = 8,750.78/x
  3. Step 3: Cross multiply
    27,469.68x = 41,202.40 × 8,750.78
  4. Step 4: Simplify right side
    27,469.68x = 360,553,137.87
  5. Step 5: Solve for x
    x = 360,553,137.87/27,469.68
  6. Step 6: Final answer
    x = 13,125.49

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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.