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Finding the Fourth Proportional to 76,791.60, 115,198.44 and 24,205.32

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Solution

The fourth proportional to 76,791.60, 115,198.44 and 24,205.32 is: 36,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.60 : 115,198.44 = 24,205.32 : x
  2. Step 2: Convert to fraction form
    76,791.60/115,198.44 = 24,205.32/x
  3. Step 3: Cross multiply
    76,791.60x = 115,198.44 × 24,205.32
  4. Step 4: Simplify right side
    76,791.60x = 2,788,415,103.70
  5. Step 5: Solve for x
    x = 2,788,415,103.70/76,791.60
  6. Step 6: Final answer
    x = 36,311.46

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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.