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Finding the Fourth Proportional to 76,020.46, 114,057.85 and 33,896.77

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Solution

The fourth proportional to 76,020.46, 114,057.85 and 33,896.77 is: 50,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,020.46 : 114,057.85 = 33,896.77 : x
  2. Step 2: Convert to fraction form
    76,020.46/114,057.85 = 33,896.77/x
  3. Step 3: Cross multiply
    76,020.46x = 114,057.85 × 33,896.77
  4. Step 4: Simplify right side
    76,020.46x = 3,866,192,708.14
  5. Step 5: Solve for x
    x = 3,866,192,708.14/76,020.46
  6. Step 6: Final answer
    x = 50,857.27

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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.