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Finding the Fourth Proportional to 68,121.60, 102,067.20 and 32,985.60

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Solution

The fourth proportional to 68,121.60, 102,067.20 and 32,985.60 is: 49,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,121.60 : 102,067.20 = 32,985.60 : x
  2. Step 2: Convert to fraction form
    68,121.60/102,067.20 = 32,985.60/x
  3. Step 3: Cross multiply
    68,121.60x = 102,067.20 × 32,985.60
  4. Step 4: Simplify right side
    68,121.60x = 3,366,747,832.32
  5. Step 5: Solve for x
    x = 3,366,747,832.32/68,121.60
  6. Step 6: Final answer
    x = 49,422.62

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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.