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Finding the Fourth Proportional to 80,580.86, 120,871.14 and 27,990.80

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Solution

The fourth proportional to 80,580.86, 120,871.14 and 27,990.80 is: 41,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580.86 : 120,871.14 = 27,990.80 : x
  2. Step 2: Convert to fraction form
    80,580.86/120,871.14 = 27,990.80/x
  3. Step 3: Cross multiply
    80,580.86x = 120,871.14 × 27,990.80
  4. Step 4: Simplify right side
    80,580.86x = 3,383,279,905.51
  5. Step 5: Solve for x
    x = 3,383,279,905.51/80,580.86
  6. Step 6: Final answer
    x = 41,986.15

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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.