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Finding the Fourth Proportional to 82,013.93, 113,187.59 and 50,203.85

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Solution

The fourth proportional to 82,013.93, 113,187.59 and 50,203.85 is: 69,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.93 : 113,187.59 = 50,203.85 : x
  2. Step 2: Convert to fraction form
    82,013.93/113,187.59 = 50,203.85/x
  3. Step 3: Cross multiply
    82,013.93x = 113,187.59 × 50,203.85
  4. Step 4: Simplify right side
    82,013.93x = 5,682,452,790.22
  5. Step 5: Solve for x
    x = 5,682,452,790.22/82,013.93
  6. Step 6: Final answer
    x = 69,286.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.