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Finding the Fourth Proportional to 49,122.76, 67,789.70 and 26,766.76

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Solution

The fourth proportional to 49,122.76, 67,789.70 and 26,766.76 is: 36,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,122.76 : 67,789.70 = 26,766.76 : x
  2. Step 2: Convert to fraction form
    49,122.76/67,789.70 = 26,766.76/x
  3. Step 3: Cross multiply
    49,122.76x = 67,789.70 × 26,766.76
  4. Step 4: Simplify right side
    49,122.76x = 1,814,510,630.37
  5. Step 5: Solve for x
    x = 1,814,510,630.37/49,122.76
  6. Step 6: Final answer
    x = 36,938.29

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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.