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Finding the Fourth Proportional to 33,224.50, 49,845.16 and 11,038

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Solution

The fourth proportional to 33,224.50, 49,845.16 and 11,038 is: 16,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.50 : 49,845.16 = 11,038 : x
  2. Step 2: Convert to fraction form
    33,224.50/49,845.16 = 11,038/x
  3. Step 3: Cross multiply
    33,224.50x = 49,845.16 × 11,038
  4. Step 4: Simplify right side
    33,224.50x = 550,190,876.08
  5. Step 5: Solve for x
    x = 550,190,876.08/33,224.50
  6. Step 6: Final answer
    x = 16,559.79

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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.