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Finding the Fourth Proportional to 33,428.70, 50,138.73 and 12,649.50

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Solution

The fourth proportional to 33,428.70, 50,138.73 and 12,649.50 is: 18,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.70 : 50,138.73 = 12,649.50 : x
  2. Step 2: Convert to fraction form
    33,428.70/50,138.73 = 12,649.50/x
  3. Step 3: Cross multiply
    33,428.70x = 50,138.73 × 12,649.50
  4. Step 4: Simplify right side
    33,428.70x = 634,229,865.14
  5. Step 5: Solve for x
    x = 634,229,865.14/33,428.70
  6. Step 6: Final answer
    x = 18,972.62

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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.