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Finding the Fourth Proportional to 68,676.50, 103,002.60 and 31,227.78

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Solution

The fourth proportional to 68,676.50, 103,002.60 and 31,227.78 is: 46,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676.50 : 103,002.60 = 31,227.78 : x
  2. Step 2: Convert to fraction form
    68,676.50/103,002.60 = 31,227.78/x
  3. Step 3: Cross multiply
    68,676.50x = 103,002.60 × 31,227.78
  4. Step 4: Simplify right side
    68,676.50x = 3,216,542,532.23
  5. Step 5: Solve for x
    x = 3,216,542,532.23/68,676.50
  6. Step 6: Final answer
    x = 46,836.15

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