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Finding the Fourth Proportional to 107,952.67, 161,933.87 and 33,067.36

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Solution

The fourth proportional to 107,952.67, 161,933.87 and 33,067.36 is: 49,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,952.67 : 161,933.87 = 33,067.36 : x
  2. Step 2: Convert to fraction form
    107,952.67/161,933.87 = 33,067.36/x
  3. Step 3: Cross multiply
    107,952.67x = 161,933.87 × 33,067.36
  4. Step 4: Simplify right side
    107,952.67x = 5,354,725,575.48
  5. Step 5: Solve for x
    x = 5,354,725,575.48/107,952.67
  6. Step 6: Final answer
    x = 49,602.53

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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.