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Finding the Fourth Proportional to 33,222.48, 49,833.78 and 13,496.46

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Solution

The fourth proportional to 33,222.48, 49,833.78 and 13,496.46 is: 20,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.48 : 49,833.78 = 13,496.46 : x
  2. Step 2: Convert to fraction form
    33,222.48/49,833.78 = 13,496.46/x
  3. Step 3: Cross multiply
    33,222.48x = 49,833.78 × 13,496.46
  4. Step 4: Simplify right side
    33,222.48x = 672,579,618.42
  5. Step 5: Solve for x
    x = 672,579,618.42/33,222.48
  6. Step 6: Final answer
    x = 20,244.71

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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.