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Finding the Fourth Proportional to 110,145.02, 165,217.69 and 27,039.02

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Solution

The fourth proportional to 110,145.02, 165,217.69 and 27,039.02 is: 40,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,145.02 : 165,217.69 = 27,039.02 : x
  2. Step 2: Convert to fraction form
    110,145.02/165,217.69 = 27,039.02/x
  3. Step 3: Cross multiply
    110,145.02x = 165,217.69 × 27,039.02
  4. Step 4: Simplify right side
    110,145.02x = 4,467,324,424.26
  5. Step 5: Solve for x
    x = 4,467,324,424.26/110,145.02
  6. Step 6: Final answer
    x = 40,558.57

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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.