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Finding the Fourth Proportional to 81,939.40, 122,714.70 and 50,446.60

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Solution

The fourth proportional to 81,939.40, 122,714.70 and 50,446.60 is: 75,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,939.40 : 122,714.70 = 50,446.60 : x
  2. Step 2: Convert to fraction form
    81,939.40/122,714.70 = 50,446.60/x
  3. Step 3: Cross multiply
    81,939.40x = 122,714.70 × 50,446.60
  4. Step 4: Simplify right side
    81,939.40x = 6,190,539,385.02
  5. Step 5: Solve for x
    x = 6,190,539,385.02/81,939.40
  6. Step 6: Final answer
    x = 75,550.22

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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.