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Finding the Fourth Proportional to 33,383.50, 50,083.80 and 23,542

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Solution

The fourth proportional to 33,383.50, 50,083.80 and 23,542 is: 35,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,383.50 : 50,083.80 = 23,542 : x
  2. Step 2: Convert to fraction form
    33,383.50/50,083.80 = 23,542/x
  3. Step 3: Cross multiply
    33,383.50x = 50,083.80 × 23,542
  4. Step 4: Simplify right side
    33,383.50x = 1,179,072,819.60
  5. Step 5: Solve for x
    x = 1,179,072,819.60/33,383.50
  6. Step 6: Final answer
    x = 35,319.03

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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.