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Finding the Fourth Proportional to 68,611.20, 102,916.80 and 41,884.80

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Solution

The fourth proportional to 68,611.20, 102,916.80 and 41,884.80 is: 62,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,611.20 : 102,916.80 = 41,884.80 : x
  2. Step 2: Convert to fraction form
    68,611.20/102,916.80 = 41,884.80/x
  3. Step 3: Cross multiply
    68,611.20x = 102,916.80 × 41,884.80
  4. Step 4: Simplify right side
    68,611.20x = 4,310,649,584.64
  5. Step 5: Solve for x
    x = 4,310,649,584.64/68,611.20
  6. Step 6: Final answer
    x = 62,827.20

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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.