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Finding the Fourth Proportional to 32,616.38, 48,924.56 and 7,992.38

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Solution

The fourth proportional to 32,616.38, 48,924.56 and 7,992.38 is: 11,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.38 : 48,924.56 = 7,992.38 : x
  2. Step 2: Convert to fraction form
    32,616.38/48,924.56 = 7,992.38/x
  3. Step 3: Cross multiply
    32,616.38x = 48,924.56 × 7,992.38
  4. Step 4: Simplify right side
    32,616.38x = 391,023,450.21
  5. Step 5: Solve for x
    x = 391,023,450.21/32,616.38
  6. Step 6: Final answer
    x = 11,988.56

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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.