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Finding the Fourth Proportional to 76,377.06, 114,512.94 and 33,661.76

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Solution

The fourth proportional to 76,377.06, 114,512.94 and 33,661.76 is: 50,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,377.06 : 114,512.94 = 33,661.76 : x
  2. Step 2: Convert to fraction form
    76,377.06/114,512.94 = 33,661.76/x
  3. Step 3: Cross multiply
    76,377.06x = 114,512.94 × 33,661.76
  4. Step 4: Simplify right side
    76,377.06x = 3,854,707,103.17
  5. Step 5: Solve for x
    x = 3,854,707,103.17/76,377.06
  6. Step 6: Final answer
    x = 50,469.44

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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.