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Finding the Fourth Proportional to 68,377.50, 102,614.85 and 26,824.50

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Solution

The fourth proportional to 68,377.50, 102,614.85 and 26,824.50 is: 40,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,377.50 : 102,614.85 = 26,824.50 : x
  2. Step 2: Convert to fraction form
    68,377.50/102,614.85 = 26,824.50/x
  3. Step 3: Cross multiply
    68,377.50x = 102,614.85 × 26,824.50
  4. Step 4: Simplify right side
    68,377.50x = 2,752,592,043.83
  5. Step 5: Solve for x
    x = 2,752,592,043.83/68,377.50
  6. Step 6: Final answer
    x = 40,255.82

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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.