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Finding the Fourth Proportional to 76,120.77, 114,149.94 and 22,793.96

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Solution

The fourth proportional to 76,120.77, 114,149.94 and 22,793.96 is: 34,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120.77 : 114,149.94 = 22,793.96 : x
  2. Step 2: Convert to fraction form
    76,120.77/114,149.94 = 22,793.96/x
  3. Step 3: Cross multiply
    76,120.77x = 114,149.94 × 22,793.96
  4. Step 4: Simplify right side
    76,120.77x = 2,601,929,366.26
  5. Step 5: Solve for x
    x = 2,601,929,366.26/76,120.77
  6. Step 6: Final answer
    x = 34,181.59

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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.