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Finding the Fourth Proportional to 76,766.50, 115,149.74 and 29,986.57

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Solution

The fourth proportional to 76,766.50, 115,149.74 and 29,986.57 is: 44,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,766.50 : 115,149.74 = 29,986.57 : x
  2. Step 2: Convert to fraction form
    76,766.50/115,149.74 = 29,986.57/x
  3. Step 3: Cross multiply
    76,766.50x = 115,149.74 × 29,986.57
  4. Step 4: Simplify right side
    76,766.50x = 3,452,945,163.24
  5. Step 5: Solve for x
    x = 3,452,945,163.24/76,766.50
  6. Step 6: Final answer
    x = 44,979.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.