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Finding the Fourth Proportional to 76,481.87, 114,696.93 and 29,085.70

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Solution

The fourth proportional to 76,481.87, 114,696.93 and 29,085.70 is: 43,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.87 : 114,696.93 = 29,085.70 : x
  2. Step 2: Convert to fraction form
    76,481.87/114,696.93 = 29,085.70/x
  3. Step 3: Cross multiply
    76,481.87x = 114,696.93 × 29,085.70
  4. Step 4: Simplify right side
    76,481.87x = 3,336,040,370.68
  5. Step 5: Solve for x
    x = 3,336,040,370.68/76,481.87
  6. Step 6: Final answer
    x = 43,618.71

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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.