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Finding the Fourth Proportional to 53,914.20, 80,871.30 and 34,231.20

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Solution

The fourth proportional to 53,914.20, 80,871.30 and 34,231.20 is: 51,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914.20 : 80,871.30 = 34,231.20 : x
  2. Step 2: Convert to fraction form
    53,914.20/80,871.30 = 34,231.20/x
  3. Step 3: Cross multiply
    53,914.20x = 80,871.30 × 34,231.20
  4. Step 4: Simplify right side
    53,914.20x = 2,768,321,644.56
  5. Step 5: Solve for x
    x = 2,768,321,644.56/53,914.20
  6. Step 6: Final answer
    x = 51,346.80

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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.