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Finding the Fourth Proportional to 27,960, 41,940 and 7,183.50

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Solution

The fourth proportional to 27,960, 41,940 and 7,183.50 is: 10,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960 : 41,940 = 7,183.50 : x
  2. Step 2: Convert to fraction form
    27,960/41,940 = 7,183.50/x
  3. Step 3: Cross multiply
    27,960x = 41,940 × 7,183.50
  4. Step 4: Simplify right side
    27,960x = 301,275,990
  5. Step 5: Solve for x
    x = 301,275,990/27,960
  6. Step 6: Final answer
    x = 10,775.25

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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.