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Finding the Fourth Proportional to 110,530.70, 165,796.05 and 27,424.70

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Solution

The fourth proportional to 110,530.70, 165,796.05 and 27,424.70 is: 41,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,530.70 : 165,796.05 = 27,424.70 : x
  2. Step 2: Convert to fraction form
    110,530.70/165,796.05 = 27,424.70/x
  3. Step 3: Cross multiply
    110,530.70x = 165,796.05 × 27,424.70
  4. Step 4: Simplify right side
    110,530.70x = 4,546,906,932.44
  5. Step 5: Solve for x
    x = 4,546,906,932.44/110,530.70
  6. Step 6: Final answer
    x = 41,137.05

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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.