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Finding the Fourth Proportional to 110,996, 166,494 and 33,172

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Solution

The fourth proportional to 110,996, 166,494 and 33,172 is: 49,758

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996 : 166,494 = 33,172 : x
  2. Step 2: Convert to fraction form
    110,996/166,494 = 33,172/x
  3. Step 3: Cross multiply
    110,996x = 166,494 × 33,172
  4. Step 4: Simplify right side
    110,996x = 5,522,938,968
  5. Step 5: Solve for x
    x = 5,522,938,968/110,996
  6. Step 6: Final answer
    x = 49,758

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.