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Finding the Fourth Proportional to 33,468.33, 50,207.19 and 9,777.61

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Solution

The fourth proportional to 33,468.33, 50,207.19 and 9,777.61 is: 14,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468.33 : 50,207.19 = 9,777.61 : x
  2. Step 2: Convert to fraction form
    33,468.33/50,207.19 = 9,777.61/x
  3. Step 3: Cross multiply
    33,468.33x = 50,207.19 × 9,777.61
  4. Step 4: Simplify right side
    33,468.33x = 490,906,197.50
  5. Step 5: Solve for x
    x = 490,906,197.50/33,468.33
  6. Step 6: Final answer
    x = 14,667.78

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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.