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Finding the Fourth Proportional to 33,202.22, 49,789.29 and 11,009.66

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Solution

The fourth proportional to 33,202.22, 49,789.29 and 11,009.66 is: 16,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.22 : 49,789.29 = 11,009.66 : x
  2. Step 2: Convert to fraction form
    33,202.22/49,789.29 = 11,009.66/x
  3. Step 3: Cross multiply
    33,202.22x = 49,789.29 × 11,009.66
  4. Step 4: Simplify right side
    33,202.22x = 548,163,154.54
  5. Step 5: Solve for x
    x = 548,163,154.54/33,202.22
  6. Step 6: Final answer
    x = 16,509.83

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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.