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Finding the Fourth Proportional to 33,708.64, 50,538 and 16,161.76

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Solution

The fourth proportional to 33,708.64, 50,538 and 16,161.76 is: 24,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708.64 : 50,538 = 16,161.76 : x
  2. Step 2: Convert to fraction form
    33,708.64/50,538 = 16,161.76/x
  3. Step 3: Cross multiply
    33,708.64x = 50,538 × 16,161.76
  4. Step 4: Simplify right side
    33,708.64x = 816,783,026.88
  5. Step 5: Solve for x
    x = 816,783,026.88/33,708.64
  6. Step 6: Final answer
    x = 24,230.67

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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.