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Finding the Fourth Proportional to 27,163.27, 40,744.94 and 7,442

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Solution

The fourth proportional to 27,163.27, 40,744.94 and 7,442 is: 11,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,163.27 : 40,744.94 = 7,442 : x
  2. Step 2: Convert to fraction form
    27,163.27/40,744.94 = 7,442/x
  3. Step 3: Cross multiply
    27,163.27x = 40,744.94 × 7,442
  4. Step 4: Simplify right side
    27,163.27x = 303,223,843.48
  5. Step 5: Solve for x
    x = 303,223,843.48/27,163.27
  6. Step 6: Final answer
    x = 11,163.01

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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.