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Finding the Fourth Proportional to 110,980, 166,470 and 33,156

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Solution

The fourth proportional to 110,980, 166,470 and 33,156 is: 49,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,980 : 166,470 = 33,156 : x
  2. Step 2: Convert to fraction form
    110,980/166,470 = 33,156/x
  3. Step 3: Cross multiply
    110,980x = 166,470 × 33,156
  4. Step 4: Simplify right side
    110,980x = 5,519,479,320
  5. Step 5: Solve for x
    x = 5,519,479,320/110,980
  6. Step 6: Final answer
    x = 49,734

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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.