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Finding the Fourth Proportional to 27,751.50, 41,633.44 and 8,031.56

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Solution

The fourth proportional to 27,751.50, 41,633.44 and 8,031.56 is: 12,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.50 : 41,633.44 = 8,031.56 : x
  2. Step 2: Convert to fraction form
    27,751.50/41,633.44 = 8,031.56/x
  3. Step 3: Cross multiply
    27,751.50x = 41,633.44 × 8,031.56
  4. Step 4: Simplify right side
    27,751.50x = 334,381,471.37
  5. Step 5: Solve for x
    x = 334,381,471.37/27,751.50
  6. Step 6: Final answer
    x = 12,049.13

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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.