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Finding the Fourth Proportional to 110,582.82, 165,874.22 and 27,476.82

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Solution

The fourth proportional to 110,582.82, 165,874.22 and 27,476.82 is: 41,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,582.82 : 165,874.22 = 27,476.82 : x
  2. Step 2: Convert to fraction form
    110,582.82/165,874.22 = 27,476.82/x
  3. Step 3: Cross multiply
    110,582.82x = 165,874.22 × 27,476.82
  4. Step 4: Simplify right side
    110,582.82x = 4,557,695,948.20
  5. Step 5: Solve for x
    x = 4,557,695,948.20/110,582.82
  6. Step 6: Final answer
    x = 41,215.23

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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.