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Finding the Fourth Proportional to 67,282.86, 100,936.17 and 27,817.86

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Solution

The fourth proportional to 67,282.86, 100,936.17 and 27,817.86 is: 41,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,282.86 : 100,936.17 = 27,817.86 : x
  2. Step 2: Convert to fraction form
    67,282.86/100,936.17 = 27,817.86/x
  3. Step 3: Cross multiply
    67,282.86x = 100,936.17 × 27,817.86
  4. Step 4: Simplify right side
    67,282.86x = 2,807,828,246.00
  5. Step 5: Solve for x
    x = 2,807,828,246.00/67,282.86
  6. Step 6: Final answer
    x = 41,731.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.