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Finding the Fourth Proportional to 27,717, 41,550.12 and 10,173.48

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Solution

The fourth proportional to 27,717, 41,550.12 and 10,173.48 is: 15,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 41,550.12 = 10,173.48 : x
  2. Step 2: Convert to fraction form
    27,717/41,550.12 = 10,173.48/x
  3. Step 3: Cross multiply
    27,717x = 41,550.12 × 10,173.48
  4. Step 4: Simplify right side
    27,717x = 422,709,314.82
  5. Step 5: Solve for x
    x = 422,709,314.82/27,717
  6. Step 6: Final answer
    x = 15,250.90

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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.