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Finding the Fourth Proportional to 110,982.51, 166,489.56 and 36,078.57

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Solution

The fourth proportional to 110,982.51, 166,489.56 and 36,078.57 is: 54,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982.51 : 166,489.56 = 36,078.57 : x
  2. Step 2: Convert to fraction form
    110,982.51/166,489.56 = 36,078.57/x
  3. Step 3: Cross multiply
    110,982.51x = 166,489.56 × 36,078.57
  4. Step 4: Simplify right side
    110,982.51x = 6,006,705,244.73
  5. Step 5: Solve for x
    x = 6,006,705,244.73/110,982.51
  6. Step 6: Final answer
    x = 54,122.99

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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.