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Finding the Fourth Proportional to 68,290.56, 102,482.24 and 41,914.80

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Solution

The fourth proportional to 68,290.56, 102,482.24 and 41,914.80 is: 62,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,290.56 : 102,482.24 = 41,914.80 : x
  2. Step 2: Convert to fraction form
    68,290.56/102,482.24 = 41,914.80/x
  3. Step 3: Cross multiply
    68,290.56x = 102,482.24 × 41,914.80
  4. Step 4: Simplify right side
    68,290.56x = 4,295,522,593.15
  5. Step 5: Solve for x
    x = 4,295,522,593.15/68,290.56
  6. Step 6: Final answer
    x = 62,900.68

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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.