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Finding the Fourth Proportional to 33,224.63, 49,847 and 11,874.55

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Solution

The fourth proportional to 33,224.63, 49,847 and 11,874.55 is: 17,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.63 : 49,847 = 11,874.55 : x
  2. Step 2: Convert to fraction form
    33,224.63/49,847 = 11,874.55/x
  3. Step 3: Cross multiply
    33,224.63x = 49,847 × 11,874.55
  4. Step 4: Simplify right side
    33,224.63x = 591,910,693.85
  5. Step 5: Solve for x
    x = 591,910,693.85/33,224.63
  6. Step 6: Final answer
    x = 17,815.42

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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.