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Finding the Fourth Proportional to 33,842.75, 50,764.13 and 9,218.75

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Solution

The fourth proportional to 33,842.75, 50,764.13 and 9,218.75 is: 13,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.75 : 50,764.13 = 9,218.75 : x
  2. Step 2: Convert to fraction form
    33,842.75/50,764.13 = 9,218.75/x
  3. Step 3: Cross multiply
    33,842.75x = 50,764.13 × 9,218.75
  4. Step 4: Simplify right side
    33,842.75x = 467,981,823.44
  5. Step 5: Solve for x
    x = 467,981,823.44/33,842.75
  6. Step 6: Final answer
    x = 13,828.13

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Similar ratio
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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.