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Finding the Fourth Proportional to 33,187.50, 49,664.34 and 20,713.41

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Solution

The fourth proportional to 33,187.50, 49,664.34 and 20,713.41 is: 30,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.50 : 49,664.34 = 20,713.41 : x
  2. Step 2: Convert to fraction form
    33,187.50/49,664.34 = 20,713.41/x
  3. Step 3: Cross multiply
    33,187.50x = 49,664.34 × 20,713.41
  4. Step 4: Simplify right side
    33,187.50x = 1,028,717,836.80
  5. Step 5: Solve for x
    x = 1,028,717,836.80/33,187.50
  6. Step 6: Final answer
    x = 30,997.15

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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.