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Finding the Fourth Proportional to 33,231.21, 49,855.01 and 9,857.64

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Solution

The fourth proportional to 33,231.21, 49,855.01 and 9,857.64 is: 14,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.21 : 49,855.01 = 9,857.64 : x
  2. Step 2: Convert to fraction form
    33,231.21/49,855.01 = 9,857.64/x
  3. Step 3: Cross multiply
    33,231.21x = 49,855.01 × 9,857.64
  4. Step 4: Simplify right side
    33,231.21x = 491,452,740.78
  5. Step 5: Solve for x
    x = 491,452,740.78/33,231.21
  6. Step 6: Final answer
    x = 14,788.89

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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.