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Finding the Fourth Proportional to 33,232.08, 49,839.60 and 9,853.08

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Solution

The fourth proportional to 33,232.08, 49,839.60 and 9,853.08 is: 14,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.08 : 49,839.60 = 9,853.08 : x
  2. Step 2: Convert to fraction form
    33,232.08/49,839.60 = 9,853.08/x
  3. Step 3: Cross multiply
    33,232.08x = 49,839.60 × 9,853.08
  4. Step 4: Simplify right side
    33,232.08x = 491,073,565.97
  5. Step 5: Solve for x
    x = 491,073,565.97/33,232.08
  6. Step 6: Final answer
    x = 14,777.09

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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.