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Finding the Fourth Proportional to 32,383.45, 48,576.92 and 10,198.56

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Solution

The fourth proportional to 32,383.45, 48,576.92 and 10,198.56 is: 15,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.45 : 48,576.92 = 10,198.56 : x
  2. Step 2: Convert to fraction form
    32,383.45/48,576.92 = 10,198.56/x
  3. Step 3: Cross multiply
    32,383.45x = 48,576.92 × 10,198.56
  4. Step 4: Simplify right side
    32,383.45x = 495,414,491.16
  5. Step 5: Solve for x
    x = 495,414,491.16/32,383.45
  6. Step 6: Final answer
    x = 15,298.38

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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.