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Finding the Fourth Proportional to 111,896.63, 167,843.28 and 27,656.80

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Solution

The fourth proportional to 111,896.63, 167,843.28 and 27,656.80 is: 41,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,896.63 : 167,843.28 = 27,656.80 : x
  2. Step 2: Convert to fraction form
    111,896.63/167,843.28 = 27,656.80/x
  3. Step 3: Cross multiply
    111,896.63x = 167,843.28 × 27,656.80
  4. Step 4: Simplify right side
    111,896.63x = 4,642,007,710.41
  5. Step 5: Solve for x
    x = 4,642,007,710.41/111,896.63
  6. Step 6: Final answer
    x = 41,484.79

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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.