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Finding the Fourth Proportional to 71,634.96, 107,255.52 and 54,051.60

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Solution

The fourth proportional to 71,634.96, 107,255.52 and 54,051.60 is: 80,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.96 : 107,255.52 = 54,051.60 : x
  2. Step 2: Convert to fraction form
    71,634.96/107,255.52 = 54,051.60/x
  3. Step 3: Cross multiply
    71,634.96x = 107,255.52 × 54,051.60
  4. Step 4: Simplify right side
    71,634.96x = 5,797,332,464.83
  5. Step 5: Solve for x
    x = 5,797,332,464.83/71,634.96
  6. Step 6: Final answer
    x = 80,928.82

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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.