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Finding the Fourth Proportional to 32,109.73, 48,163.15 and 8,416.75

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Solution

The fourth proportional to 32,109.73, 48,163.15 and 8,416.75 is: 12,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.73 : 48,163.15 = 8,416.75 : x
  2. Step 2: Convert to fraction form
    32,109.73/48,163.15 = 8,416.75/x
  3. Step 3: Cross multiply
    32,109.73x = 48,163.15 × 8,416.75
  4. Step 4: Simplify right side
    32,109.73x = 405,377,192.76
  5. Step 5: Solve for x
    x = 405,377,192.76/32,109.73
  6. Step 6: Final answer
    x = 12,624.75

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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.