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Finding the Fourth Proportional to 81,997, 122,984.22 and 32,042.44

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Solution

The fourth proportional to 81,997, 122,984.22 and 32,042.44 is: 48,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,997 : 122,984.22 = 32,042.44 : x
  2. Step 2: Convert to fraction form
    81,997/122,984.22 = 32,042.44/x
  3. Step 3: Cross multiply
    81,997x = 122,984.22 × 32,042.44
  4. Step 4: Simplify right side
    81,997x = 3,940,714,490.30
  5. Step 5: Solve for x
    x = 3,940,714,490.30/81,997
  6. Step 6: Final answer
    x = 48,059.25

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1.5x scale

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.