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Finding the Fourth Proportional to 49,122.75, 67,789.94 and 26,766.75

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Solution

The fourth proportional to 49,122.75, 67,789.94 and 26,766.75 is: 36,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,122.75 : 67,789.94 = 26,766.75 : x
  2. Step 2: Convert to fraction form
    49,122.75/67,789.94 = 26,766.75/x
  3. Step 3: Cross multiply
    49,122.75x = 67,789.94 × 26,766.75
  4. Step 4: Simplify right side
    49,122.75x = 1,814,516,376.50
  5. Step 5: Solve for x
    x = 1,814,516,376.50/49,122.75
  6. Step 6: Final answer
    x = 36,938.41

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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.