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Finding the Fourth Proportional to 35,832.24, 49,450.32 and 19,917

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Solution

The fourth proportional to 35,832.24, 49,450.32 and 19,917 is: 27,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.24 : 49,450.32 = 19,917 : x
  2. Step 2: Convert to fraction form
    35,832.24/49,450.32 = 19,917/x
  3. Step 3: Cross multiply
    35,832.24x = 49,450.32 × 19,917
  4. Step 4: Simplify right side
    35,832.24x = 984,902,023.44
  5. Step 5: Solve for x
    x = 984,902,023.44/35,832.24
  6. Step 6: Final answer
    x = 27,486.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.