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Finding the Fourth Proportional to 110,971.26, 166,472.69 and 36,067.32

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Solution

The fourth proportional to 110,971.26, 166,472.69 and 36,067.32 is: 54,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971.26 : 166,472.69 = 36,067.32 : x
  2. Step 2: Convert to fraction form
    110,971.26/166,472.69 = 36,067.32/x
  3. Step 3: Cross multiply
    110,971.26x = 166,472.69 × 36,067.32
  4. Step 4: Simplify right side
    110,971.26x = 6,004,223,601.15
  5. Step 5: Solve for x
    x = 6,004,223,601.15/110,971.26
  6. Step 6: Final answer
    x = 54,106.11

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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.