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Finding the Fourth Proportional to 33,189.47, 49,793.43 and 14,471.14

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Solution

The fourth proportional to 33,189.47, 49,793.43 and 14,471.14 is: 21,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.47 : 49,793.43 = 14,471.14 : x
  2. Step 2: Convert to fraction form
    33,189.47/49,793.43 = 14,471.14/x
  3. Step 3: Cross multiply
    33,189.47x = 49,793.43 × 14,471.14
  4. Step 4: Simplify right side
    33,189.47x = 720,567,660.43
  5. Step 5: Solve for x
    x = 720,567,660.43/33,189.47
  6. Step 6: Final answer
    x = 21,710.73

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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.