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Finding the Fourth Proportional to 110,814.41, 166,221.62 and 27,708.41

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Solution

The fourth proportional to 110,814.41, 166,221.62 and 27,708.41 is: 41,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,814.41 : 166,221.62 = 27,708.41 : x
  2. Step 2: Convert to fraction form
    110,814.41/166,221.62 = 27,708.41/x
  3. Step 3: Cross multiply
    110,814.41x = 166,221.62 × 27,708.41
  4. Step 4: Simplify right side
    110,814.41x = 4,605,736,797.82
  5. Step 5: Solve for x
    x = 4,605,736,797.82/110,814.41
  6. Step 6: Final answer
    x = 41,562.62

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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.