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Finding the Fourth Proportional to 27,923.54, 41,891.18 and 8,200.44

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Solution

The fourth proportional to 27,923.54, 41,891.18 and 8,200.44 is: 12,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.54 : 41,891.18 = 8,200.44 : x
  2. Step 2: Convert to fraction form
    27,923.54/41,891.18 = 8,200.44/x
  3. Step 3: Cross multiply
    27,923.54x = 41,891.18 × 8,200.44
  4. Step 4: Simplify right side
    27,923.54x = 343,526,067.12
  5. Step 5: Solve for x
    x = 343,526,067.12/27,923.54
  6. Step 6: Final answer
    x = 12,302.38

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1.5x scale

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.