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Finding the Fourth Proportional to 79,584.38, 109,827 and 43,285.82

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Solution

The fourth proportional to 79,584.38, 109,827 and 43,285.82 is: 59,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,584.38 : 109,827 = 43,285.82 : x
  2. Step 2: Convert to fraction form
    79,584.38/109,827 = 43,285.82/x
  3. Step 3: Cross multiply
    79,584.38x = 109,827 × 43,285.82
  4. Step 4: Simplify right side
    79,584.38x = 4,753,951,753.14
  5. Step 5: Solve for x
    x = 4,753,951,753.14/79,584.38
  6. Step 6: Final answer
    x = 59,734.73

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Why These Related Problems?

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