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Finding the Fourth Proportional to 27,795.70, 41,700.84 and 8,073.82

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Solution

The fourth proportional to 27,795.70, 41,700.84 and 8,073.82 is: 12,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.70 : 41,700.84 = 8,073.82 : x
  2. Step 2: Convert to fraction form
    27,795.70/41,700.84 = 8,073.82/x
  3. Step 3: Cross multiply
    27,795.70x = 41,700.84 × 8,073.82
  4. Step 4: Simplify right side
    27,795.70x = 336,685,076.01
  5. Step 5: Solve for x
    x = 336,685,076.01/27,795.70
  6. Step 6: Final answer
    x = 12,112.85

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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.