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Finding the Fourth Proportional to 33,994.20, 50,978.26 and 11,192.70

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Solution

The fourth proportional to 33,994.20, 50,978.26 and 11,192.70 is: 16,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.20 : 50,978.26 = 11,192.70 : x
  2. Step 2: Convert to fraction form
    33,994.20/50,978.26 = 11,192.70/x
  3. Step 3: Cross multiply
    33,994.20x = 50,978.26 × 11,192.70
  4. Step 4: Simplify right side
    33,994.20x = 570,584,370.70
  5. Step 5: Solve for x
    x = 570,584,370.70/33,994.20
  6. Step 6: Final answer
    x = 16,784.76

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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.