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Finding the Fourth Proportional to 33,188.46, 49,665.71 and 20,714.33

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Solution

The fourth proportional to 33,188.46, 49,665.71 and 20,714.33 is: 30,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.46 : 49,665.71 = 20,714.33 : x
  2. Step 2: Convert to fraction form
    33,188.46/49,665.71 = 20,714.33/x
  3. Step 3: Cross multiply
    33,188.46x = 49,665.71 × 20,714.33
  4. Step 4: Simplify right side
    33,188.46x = 1,028,791,906.62
  5. Step 5: Solve for x
    x = 1,028,791,906.62/33,188.46
  6. Step 6: Final answer
    x = 30,998.48

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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.