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Finding the Fourth Proportional to 82,013.68, 113,187.24 and 50,203.60

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Solution

The fourth proportional to 82,013.68, 113,187.24 and 50,203.60 is: 69,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.68 : 113,187.24 = 50,203.60 : x
  2. Step 2: Convert to fraction form
    82,013.68/113,187.24 = 50,203.60/x
  3. Step 3: Cross multiply
    82,013.68x = 113,187.24 × 50,203.60
  4. Step 4: Simplify right side
    82,013.68x = 5,682,406,922.06
  5. Step 5: Solve for x
    x = 5,682,406,922.06/82,013.68
  6. Step 6: Final answer
    x = 69,286.09

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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.