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Finding the Fourth Proportional to 110,664, 165,997.44 and 36,792

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Solution

The fourth proportional to 110,664, 165,997.44 and 36,792 is: 55,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 165,997.44 = 36,792 : x
  2. Step 2: Convert to fraction form
    110,664/165,997.44 = 36,792/x
  3. Step 3: Cross multiply
    110,664x = 165,997.44 × 36,792
  4. Step 4: Simplify right side
    110,664x = 6,107,377,812.48
  5. Step 5: Solve for x
    x = 6,107,377,812.48/110,664
  6. Step 6: Final answer
    x = 55,188.48

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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.