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Finding the Fourth Proportional to 33,227.12, 49,835.78 and 11,040

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Solution

The fourth proportional to 33,227.12, 49,835.78 and 11,040 is: 16,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.12 : 49,835.78 = 11,040 : x
  2. Step 2: Convert to fraction form
    33,227.12/49,835.78 = 11,040/x
  3. Step 3: Cross multiply
    33,227.12x = 49,835.78 × 11,040
  4. Step 4: Simplify right side
    33,227.12x = 550,187,011.20
  5. Step 5: Solve for x
    x = 550,187,011.20/33,227.12
  6. Step 6: Final answer
    x = 16,558.37

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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.