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Finding the Fourth Proportional to 33,381.76, 50,077.50 and 11,190.16

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Solution

The fourth proportional to 33,381.76, 50,077.50 and 11,190.16 is: 16,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381.76 : 50,077.50 = 11,190.16 : x
  2. Step 2: Convert to fraction form
    33,381.76/50,077.50 = 11,190.16/x
  3. Step 3: Cross multiply
    33,381.76x = 50,077.50 × 11,190.16
  4. Step 4: Simplify right side
    33,381.76x = 560,375,237.40
  5. Step 5: Solve for x
    x = 560,375,237.40/33,381.76
  6. Step 6: Final answer
    x = 16,786.87

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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.