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Finding the Fourth Proportional to 33,286.78, 49,924.68 and 9,907.75

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Solution

The fourth proportional to 33,286.78, 49,924.68 and 9,907.75 is: 14,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,286.78 : 49,924.68 = 9,907.75 : x
  2. Step 2: Convert to fraction form
    33,286.78/49,924.68 = 9,907.75/x
  3. Step 3: Cross multiply
    33,286.78x = 49,924.68 × 9,907.75
  4. Step 4: Simplify right side
    33,286.78x = 494,641,248.27
  5. Step 5: Solve for x
    x = 494,641,248.27/33,286.78
  6. Step 6: Final answer
    x = 14,859.99

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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.