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Finding the Fourth Proportional to 32,180.92, 48,278.94 and 9,993.16

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Solution

The fourth proportional to 32,180.92, 48,278.94 and 9,993.16 is: 14,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.92 : 48,278.94 = 9,993.16 : x
  2. Step 2: Convert to fraction form
    32,180.92/48,278.94 = 9,993.16/x
  3. Step 3: Cross multiply
    32,180.92x = 48,278.94 × 9,993.16
  4. Step 4: Simplify right side
    32,180.92x = 482,459,172.05
  5. Step 5: Solve for x
    x = 482,459,172.05/32,180.92
  6. Step 6: Final answer
    x = 14,992.09

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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.