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Finding the Fourth Proportional to 110,537.80, 165,789.10 and 36,665.80

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Solution

The fourth proportional to 110,537.80, 165,789.10 and 36,665.80 is: 54,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,537.80 : 165,789.10 = 36,665.80 : x
  2. Step 2: Convert to fraction form
    110,537.80/165,789.10 = 36,665.80/x
  3. Step 3: Cross multiply
    110,537.80x = 165,789.10 × 36,665.80
  4. Step 4: Simplify right side
    110,537.80x = 6,078,789,982.78
  5. Step 5: Solve for x
    x = 6,078,789,982.78/110,537.80
  6. Step 6: Final answer
    x = 54,992.86

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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.