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Finding the Fourth Proportional to 32,163.28, 48,251.85 and 9,976.21

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Solution

The fourth proportional to 32,163.28, 48,251.85 and 9,976.21 is: 14,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.28 : 48,251.85 = 9,976.21 : x
  2. Step 2: Convert to fraction form
    32,163.28/48,251.85 = 9,976.21/x
  3. Step 3: Cross multiply
    32,163.28x = 48,251.85 × 9,976.21
  4. Step 4: Simplify right side
    32,163.28x = 481,370,588.49
  5. Step 5: Solve for x
    x = 481,370,588.49/32,163.28
  6. Step 6: Final answer
    x = 14,966.46

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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.