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Finding the Fourth Proportional to 68,608.41, 102,806.33 and 47,589.31

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Solution

The fourth proportional to 68,608.41, 102,806.33 and 47,589.31 is: 71,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,608.41 : 102,806.33 = 47,589.31 : x
  2. Step 2: Convert to fraction form
    68,608.41/102,806.33 = 47,589.31/x
  3. Step 3: Cross multiply
    68,608.41x = 102,806.33 × 47,589.31
  4. Step 4: Simplify right side
    68,608.41x = 4,892,482,466.58
  5. Step 5: Solve for x
    x = 4,892,482,466.58/68,608.41
  6. Step 6: Final answer
    x = 71,310.25

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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.