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Finding the Fourth Proportional to 33,230.86, 49,846.59 and 9,857.30

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Solution

The fourth proportional to 33,230.86, 49,846.59 and 9,857.30 is: 14,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.86 : 49,846.59 = 9,857.30 : x
  2. Step 2: Convert to fraction form
    33,230.86/49,846.59 = 9,857.30/x
  3. Step 3: Cross multiply
    33,230.86x = 49,846.59 × 9,857.30
  4. Step 4: Simplify right side
    33,230.86x = 491,352,542.37
  5. Step 5: Solve for x
    x = 491,352,542.37/33,230.86
  6. Step 6: Final answer
    x = 14,786.03

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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.