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Finding the Fourth Proportional to 78,832.69, 108,789.12 and 50,538.38

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Solution

The fourth proportional to 78,832.69, 108,789.12 and 50,538.38 is: 69,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832.69 : 108,789.12 = 50,538.38 : x
  2. Step 2: Convert to fraction form
    78,832.69/108,789.12 = 50,538.38/x
  3. Step 3: Cross multiply
    78,832.69x = 108,789.12 × 50,538.38
  4. Step 4: Simplify right side
    78,832.69x = 5,498,025,342.48
  5. Step 5: Solve for x
    x = 5,498,025,342.48/78,832.69
  6. Step 6: Final answer
    x = 69,742.96

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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.