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Finding the Fourth Proportional to 57,982.80, 80,015.94 and 32,832.30

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Solution

The fourth proportional to 57,982.80, 80,015.94 and 32,832.30 is: 45,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982.80 : 80,015.94 = 32,832.30 : x
  2. Step 2: Convert to fraction form
    57,982.80/80,015.94 = 32,832.30/x
  3. Step 3: Cross multiply
    57,982.80x = 80,015.94 × 32,832.30
  4. Step 4: Simplify right side
    57,982.80x = 2,627,107,346.86
  5. Step 5: Solve for x
    x = 2,627,107,346.86/57,982.80
  6. Step 6: Final answer
    x = 45,308.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.