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Finding the Fourth Proportional to 27,754.50, 41,637.94 and 8,034.56

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Solution

The fourth proportional to 27,754.50, 41,637.94 and 8,034.56 is: 12,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.50 : 41,637.94 = 8,034.56 : x
  2. Step 2: Convert to fraction form
    27,754.50/41,637.94 = 8,034.56/x
  3. Step 3: Cross multiply
    27,754.50x = 41,637.94 × 8,034.56
  4. Step 4: Simplify right side
    27,754.50x = 334,542,527.21
  5. Step 5: Solve for x
    x = 334,542,527.21/27,754.50
  6. Step 6: Final answer
    x = 12,053.63

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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.