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Finding the Fourth Proportional to 76,651.49, 114,944.41 and 26,716.82

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Solution

The fourth proportional to 76,651.49, 114,944.41 and 26,716.82 is: 40,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.49 : 114,944.41 = 26,716.82 : x
  2. Step 2: Convert to fraction form
    76,651.49/114,944.41 = 26,716.82/x
  3. Step 3: Cross multiply
    76,651.49x = 114,944.41 × 26,716.82
  4. Step 4: Simplify right side
    76,651.49x = 3,070,948,470.46
  5. Step 5: Solve for x
    x = 3,070,948,470.46/76,651.49
  6. Step 6: Final answer
    x = 40,063.78

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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.