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Finding the Fourth Proportional to 33,852.57, 50,777.70 and 16,091.74

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Solution

The fourth proportional to 33,852.57, 50,777.70 and 16,091.74 is: 24,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.57 : 50,777.70 = 16,091.74 : x
  2. Step 2: Convert to fraction form
    33,852.57/50,777.70 = 16,091.74/x
  3. Step 3: Cross multiply
    33,852.57x = 50,777.70 × 16,091.74
  4. Step 4: Simplify right side
    33,852.57x = 817,101,546.20
  5. Step 5: Solve for x
    x = 817,101,546.20/33,852.57
  6. Step 6: Final answer
    x = 24,137.06

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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.