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Finding the Fourth Proportional to 48,963.60, 73,469.70 and 27,919.80

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Solution

The fourth proportional to 48,963.60, 73,469.70 and 27,919.80 is: 41,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963.60 : 73,469.70 = 27,919.80 : x
  2. Step 2: Convert to fraction form
    48,963.60/73,469.70 = 27,919.80/x
  3. Step 3: Cross multiply
    48,963.60x = 73,469.70 × 27,919.80
  4. Step 4: Simplify right side
    48,963.60x = 2,051,259,330.06
  5. Step 5: Solve for x
    x = 2,051,259,330.06/48,963.60
  6. Step 6: Final answer
    x = 41,893.56

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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.