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Finding the Fourth Proportional to 71,383.89, 107,076.69 and 33,947.58

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Solution

The fourth proportional to 71,383.89, 107,076.69 and 33,947.58 is: 50,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.89 : 107,076.69 = 33,947.58 : x
  2. Step 2: Convert to fraction form
    71,383.89/107,076.69 = 33,947.58/x
  3. Step 3: Cross multiply
    71,383.89x = 107,076.69 × 33,947.58
  4. Step 4: Simplify right side
    71,383.89x = 3,634,994,499.91
  5. Step 5: Solve for x
    x = 3,634,994,499.91/71,383.89
  6. Step 6: Final answer
    x = 50,921.78

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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.