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Finding the Fourth Proportional to 32,207.94, 48,311.46 and 11,163.30

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Solution

The fourth proportional to 32,207.94, 48,311.46 and 11,163.30 is: 16,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.94 : 48,311.46 = 11,163.30 : x
  2. Step 2: Convert to fraction form
    32,207.94/48,311.46 = 11,163.30/x
  3. Step 3: Cross multiply
    32,207.94x = 48,311.46 × 11,163.30
  4. Step 4: Simplify right side
    32,207.94x = 539,315,321.42
  5. Step 5: Solve for x
    x = 539,315,321.42/32,207.94
  6. Step 6: Final answer
    x = 16,744.79

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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.