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Finding the Fourth Proportional to 110,584.69, 165,877.04 and 27,478.69

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Solution

The fourth proportional to 110,584.69, 165,877.04 and 27,478.69 is: 41,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584.69 : 165,877.04 = 27,478.69 : x
  2. Step 2: Convert to fraction form
    110,584.69/165,877.04 = 27,478.69/x
  3. Step 3: Cross multiply
    110,584.69x = 165,877.04 × 27,478.69
  4. Step 4: Simplify right side
    110,584.69x = 4,558,083,414.28
  5. Step 5: Solve for x
    x = 4,558,083,414.28/110,584.69
  6. Step 6: Final answer
    x = 41,218.03

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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.