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Finding the Fourth Proportional to 33,098.24, 49,647.48 and 8,138.48

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Solution

The fourth proportional to 33,098.24, 49,647.48 and 8,138.48 is: 12,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.24 : 49,647.48 = 8,138.48 : x
  2. Step 2: Convert to fraction form
    33,098.24/49,647.48 = 8,138.48/x
  3. Step 3: Cross multiply
    33,098.24x = 49,647.48 × 8,138.48
  4. Step 4: Simplify right side
    33,098.24x = 404,055,023.03
  5. Step 5: Solve for x
    x = 404,055,023.03/33,098.24
  6. Step 6: Final answer
    x = 12,207.75

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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.