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Finding the Fourth Proportional to 33,222.74, 49,847.38 and 13,502.84

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Solution

The fourth proportional to 33,222.74, 49,847.38 and 13,502.84 is: 20,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.74 : 49,847.38 = 13,502.84 : x
  2. Step 2: Convert to fraction form
    33,222.74/49,847.38 = 13,502.84/x
  3. Step 3: Cross multiply
    33,222.74x = 49,847.38 × 13,502.84
  4. Step 4: Simplify right side
    33,222.74x = 673,081,196.56
  5. Step 5: Solve for x
    x = 673,081,196.56/33,222.74
  6. Step 6: Final answer
    x = 20,259.65

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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.