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Finding the Fourth Proportional to 80,469.78, 110,971.15 and 48,199.24

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Solution

The fourth proportional to 80,469.78, 110,971.15 and 48,199.24 is: 66,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,469.78 : 110,971.15 = 48,199.24 : x
  2. Step 2: Convert to fraction form
    80,469.78/110,971.15 = 48,199.24/x
  3. Step 3: Cross multiply
    80,469.78x = 110,971.15 × 48,199.24
  4. Step 4: Simplify right side
    80,469.78x = 5,348,725,369.35
  5. Step 5: Solve for x
    x = 5,348,725,369.35/80,469.78
  6. Step 6: Final answer
    x = 66,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.