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Finding the Fourth Proportional to 33,536.32, 50,311.92 and 12,760

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Solution

The fourth proportional to 33,536.32, 50,311.92 and 12,760 is: 19,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536.32 : 50,311.92 = 12,760 : x
  2. Step 2: Convert to fraction form
    33,536.32/50,311.92 = 12,760/x
  3. Step 3: Cross multiply
    33,536.32x = 50,311.92 × 12,760
  4. Step 4: Simplify right side
    33,536.32x = 641,980,099.20
  5. Step 5: Solve for x
    x = 641,980,099.20/33,536.32
  6. Step 6: Final answer
    x = 19,142.83

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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.