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Finding the Fourth Proportional to 74,540.97, 111,830.90 and 27,794.25

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Solution

The fourth proportional to 74,540.97, 111,830.90 and 27,794.25 is: 41,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,540.97 : 111,830.90 = 27,794.25 : x
  2. Step 2: Convert to fraction form
    74,540.97/111,830.90 = 27,794.25/x
  3. Step 3: Cross multiply
    74,540.97x = 111,830.90 × 27,794.25
  4. Step 4: Simplify right side
    74,540.97x = 3,108,255,853.35
  5. Step 5: Solve for x
    x = 3,108,255,853.35/74,540.97
  6. Step 6: Final answer
    x = 41,698.62

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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.