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Finding the Fourth Proportional to 110,863.50, 166,296.69 and 36,991.50

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Solution

The fourth proportional to 110,863.50, 166,296.69 and 36,991.50 is: 55,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,863.50 : 166,296.69 = 36,991.50 : x
  2. Step 2: Convert to fraction form
    110,863.50/166,296.69 = 36,991.50/x
  3. Step 3: Cross multiply
    110,863.50x = 166,296.69 × 36,991.50
  4. Step 4: Simplify right side
    110,863.50x = 6,151,564,008.14
  5. Step 5: Solve for x
    x = 6,151,564,008.14/110,863.50
  6. Step 6: Final answer
    x = 55,487.73

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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.