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Finding the Fourth Proportional to 33,226.30, 49,849.05 and 9,853.30

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Solution

The fourth proportional to 33,226.30, 49,849.05 and 9,853.30 is: 14,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,226.30 : 49,849.05 = 9,853.30 : x
  2. Step 2: Convert to fraction form
    33,226.30/49,849.05 = 9,853.30/x
  3. Step 3: Cross multiply
    33,226.30x = 49,849.05 × 9,853.30
  4. Step 4: Simplify right side
    33,226.30x = 491,177,644.37
  5. Step 5: Solve for x
    x = 491,177,644.37/33,226.30
  6. Step 6: Final answer
    x = 14,782.80

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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.