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Finding the Fourth Proportional to 110,452.50, 165,678.75 and 27,346.50

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Solution

The fourth proportional to 110,452.50, 165,678.75 and 27,346.50 is: 41,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,452.50 : 165,678.75 = 27,346.50 : x
  2. Step 2: Convert to fraction form
    110,452.50/165,678.75 = 27,346.50/x
  3. Step 3: Cross multiply
    110,452.50x = 165,678.75 × 27,346.50
  4. Step 4: Simplify right side
    110,452.50x = 4,530,733,936.88
  5. Step 5: Solve for x
    x = 4,530,733,936.88/110,452.50
  6. Step 6: Final answer
    x = 41,019.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.