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Finding the Fourth Proportional to 73,963.20, 110,959.20 and 31,843.20

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Solution

The fourth proportional to 73,963.20, 110,959.20 and 31,843.20 is: 47,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.20 : 110,959.20 = 31,843.20 : x
  2. Step 2: Convert to fraction form
    73,963.20/110,959.20 = 31,843.20/x
  3. Step 3: Cross multiply
    73,963.20x = 110,959.20 × 31,843.20
  4. Step 4: Simplify right side
    73,963.20x = 3,533,295,997.44
  5. Step 5: Solve for x
    x = 3,533,295,997.44/73,963.20
  6. Step 6: Final answer
    x = 47,771.00

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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.