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Finding the Fourth Proportional to 27,162.27, 40,743.44 and 7,441

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Solution

The fourth proportional to 27,162.27, 40,743.44 and 7,441 is: 11,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.27 : 40,743.44 = 7,441 : x
  2. Step 2: Convert to fraction form
    27,162.27/40,743.44 = 7,441/x
  3. Step 3: Cross multiply
    27,162.27x = 40,743.44 × 7,441
  4. Step 4: Simplify right side
    27,162.27x = 303,171,937.04
  5. Step 5: Solve for x
    x = 303,171,937.04/27,162.27
  6. Step 6: Final answer
    x = 11,161.51

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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.