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Finding the Fourth Proportional to 27,751.86, 41,633.87 and 8,031.20

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Solution

The fourth proportional to 27,751.86, 41,633.87 and 8,031.20 is: 12,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.86 : 41,633.87 = 8,031.20 : x
  2. Step 2: Convert to fraction form
    27,751.86/41,633.87 = 8,031.20/x
  3. Step 3: Cross multiply
    27,751.86x = 41,633.87 × 8,031.20
  4. Step 4: Simplify right side
    27,751.86x = 334,369,688.42
  5. Step 5: Solve for x
    x = 334,369,688.42/27,751.86
  6. Step 6: Final answer
    x = 12,048.55

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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.