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Finding the Fourth Proportional to 76,138.82, 114,207.57 and 59,512.82

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Solution

The fourth proportional to 76,138.82, 114,207.57 and 59,512.82 is: 89,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.82 : 114,207.57 = 59,512.82 : x
  2. Step 2: Convert to fraction form
    76,138.82/114,207.57 = 59,512.82/x
  3. Step 3: Cross multiply
    76,138.82x = 114,207.57 × 59,512.82
  4. Step 4: Simplify right side
    76,138.82x = 6,796,814,556.05
  5. Step 5: Solve for x
    x = 6,796,814,556.05/76,138.82
  6. Step 6: Final answer
    x = 89,268.71

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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.