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Finding the Fourth Proportional to 110,477.80, 165,716.52 and 27,371.80

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Solution

The fourth proportional to 110,477.80, 165,716.52 and 27,371.80 is: 41,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,477.80 : 165,716.52 = 27,371.80 : x
  2. Step 2: Convert to fraction form
    110,477.80/165,716.52 = 27,371.80/x
  3. Step 3: Cross multiply
    110,477.80x = 165,716.52 × 27,371.80
  4. Step 4: Simplify right side
    110,477.80x = 4,535,959,442.14
  5. Step 5: Solve for x
    x = 4,535,959,442.14/110,477.80
  6. Step 6: Final answer
    x = 41,057.66

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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.