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Finding the Fourth Proportional to 33,222.73, 49,847.37 and 13,502.83

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Solution

The fourth proportional to 33,222.73, 49,847.37 and 13,502.83 is: 20,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.73 : 49,847.37 = 13,502.83 : x
  2. Step 2: Convert to fraction form
    33,222.73/49,847.37 = 13,502.83/x
  3. Step 3: Cross multiply
    33,222.73x = 49,847.37 × 13,502.83
  4. Step 4: Simplify right side
    33,222.73x = 673,080,563.06
  5. Step 5: Solve for x
    x = 673,080,563.06/33,222.73
  6. Step 6: Final answer
    x = 20,259.64

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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.