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Finding the Fourth Proportional to 33,257.16, 49,884.52 and 9,882.99

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Solution

The fourth proportional to 33,257.16, 49,884.52 and 9,882.99 is: 14,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257.16 : 49,884.52 = 9,882.99 : x
  2. Step 2: Convert to fraction form
    33,257.16/49,884.52 = 9,882.99/x
  3. Step 3: Cross multiply
    33,257.16x = 49,884.52 × 9,882.99
  4. Step 4: Simplify right side
    33,257.16x = 493,008,212.31
  5. Step 5: Solve for x
    x = 493,008,212.31/33,257.16
  6. Step 6: Final answer
    x = 14,824.12

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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.