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Finding the Fourth Proportional to 32,189.08, 48,286.72 and 9,996.48

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Solution

The fourth proportional to 32,189.08, 48,286.72 and 9,996.48 is: 14,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.08 : 48,286.72 = 9,996.48 : x
  2. Step 2: Convert to fraction form
    32,189.08/48,286.72 = 9,996.48/x
  3. Step 3: Cross multiply
    32,189.08x = 48,286.72 × 9,996.48
  4. Step 4: Simplify right side
    32,189.08x = 482,697,230.75
  5. Step 5: Solve for x
    x = 482,697,230.75/32,189.08
  6. Step 6: Final answer
    x = 14,995.68

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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.