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Finding the Fourth Proportional to 100,209.15, 150,327.56 and 33,668.30

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Solution

The fourth proportional to 100,209.15, 150,327.56 and 33,668.30 is: 50,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,209.15 : 150,327.56 = 33,668.30 : x
  2. Step 2: Convert to fraction form
    100,209.15/150,327.56 = 33,668.30/x
  3. Step 3: Cross multiply
    100,209.15x = 150,327.56 × 33,668.30
  4. Step 4: Simplify right side
    100,209.15x = 5,061,272,468.37
  5. Step 5: Solve for x
    x = 5,061,272,468.37/100,209.15
  6. Step 6: Final answer
    x = 50,507.09

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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.