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Finding the Fourth Proportional to 33,514.81, 50,263.91 and 11,327.69

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Solution

The fourth proportional to 33,514.81, 50,263.91 and 11,327.69 is: 16,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.81 : 50,263.91 = 11,327.69 : x
  2. Step 2: Convert to fraction form
    33,514.81/50,263.91 = 11,327.69/x
  3. Step 3: Cross multiply
    33,514.81x = 50,263.91 × 11,327.69
  4. Step 4: Simplify right side
    33,514.81x = 569,373,934.03
  5. Step 5: Solve for x
    x = 569,373,934.03/33,514.81
  6. Step 6: Final answer
    x = 16,988.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.