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Finding the Fourth Proportional to 32,234.72, 48,330 and 11,169.44

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Solution

The fourth proportional to 32,234.72, 48,330 and 11,169.44 is: 16,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.72 : 48,330 = 11,169.44 : x
  2. Step 2: Convert to fraction form
    32,234.72/48,330 = 11,169.44/x
  3. Step 3: Cross multiply
    32,234.72x = 48,330 × 11,169.44
  4. Step 4: Simplify right side
    32,234.72x = 539,819,035.20
  5. Step 5: Solve for x
    x = 539,819,035.20/32,234.72
  6. Step 6: Final answer
    x = 16,746.51

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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.