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Finding the Fourth Proportional to 110,606.25, 165,910.02 and 27,500.25

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Solution

The fourth proportional to 110,606.25, 165,910.02 and 27,500.25 is: 41,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,606.25 : 165,910.02 = 27,500.25 : x
  2. Step 2: Convert to fraction form
    110,606.25/165,910.02 = 27,500.25/x
  3. Step 3: Cross multiply
    110,606.25x = 165,910.02 × 27,500.25
  4. Step 4: Simplify right side
    110,606.25x = 4,562,567,027.51
  5. Step 5: Solve for x
    x = 4,562,567,027.51/110,606.25
  6. Step 6: Final answer
    x = 41,250.54

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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.