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Finding the Fourth Proportional to 33,513.78, 50,270.76 and 11,321.22

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Solution

The fourth proportional to 33,513.78, 50,270.76 and 11,321.22 is: 16,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,513.78 : 50,270.76 = 11,321.22 : x
  2. Step 2: Convert to fraction form
    33,513.78/50,270.76 = 11,321.22/x
  3. Step 3: Cross multiply
    33,513.78x = 50,270.76 × 11,321.22
  4. Step 4: Simplify right side
    33,513.78x = 569,126,333.53
  5. Step 5: Solve for x
    x = 569,126,333.53/33,513.78
  6. Step 6: Final answer
    x = 16,981.86

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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.