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Finding the Fourth Proportional to 68,400.80, 102,543.60 and 35,568.80

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Solution

The fourth proportional to 68,400.80, 102,543.60 and 35,568.80 is: 53,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400.80 : 102,543.60 = 35,568.80 : x
  2. Step 2: Convert to fraction form
    68,400.80/102,543.60 = 35,568.80/x
  3. Step 3: Cross multiply
    68,400.80x = 102,543.60 × 35,568.80
  4. Step 4: Simplify right side
    68,400.80x = 3,647,352,799.68
  5. Step 5: Solve for x
    x = 3,647,352,799.68/68,400.80
  6. Step 6: Final answer
    x = 53,323.25

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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.