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Finding the Fourth Proportional to 111,722.82, 167,588.28 and 36,844.80

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Solution

The fourth proportional to 111,722.82, 167,588.28 and 36,844.80 is: 55,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722.82 : 167,588.28 = 36,844.80 : x
  2. Step 2: Convert to fraction form
    111,722.82/167,588.28 = 36,844.80/x
  3. Step 3: Cross multiply
    111,722.82x = 167,588.28 × 36,844.80
  4. Step 4: Simplify right side
    111,722.82x = 6,174,756,658.94
  5. Step 5: Solve for x
    x = 6,174,756,658.94/111,722.82
  6. Step 6: Final answer
    x = 55,268.54

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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.