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Finding the Fourth Proportional to 27,820.75, 41,733.03 and 11,180.79

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Solution

The fourth proportional to 27,820.75, 41,733.03 and 11,180.79 is: 16,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.75 : 41,733.03 = 11,180.79 : x
  2. Step 2: Convert to fraction form
    27,820.75/41,733.03 = 11,180.79/x
  3. Step 3: Cross multiply
    27,820.75x = 41,733.03 × 11,180.79
  4. Step 4: Simplify right side
    27,820.75x = 466,608,442.92
  5. Step 5: Solve for x
    x = 466,608,442.92/27,820.75
  6. Step 6: Final answer
    x = 16,771.96

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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.