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Finding the Fourth Proportional to 68,578.32, 102,906.32 and 27,054.48

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Solution

The fourth proportional to 68,578.32, 102,906.32 and 27,054.48 is: 40,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578.32 : 102,906.32 = 27,054.48 : x
  2. Step 2: Convert to fraction form
    68,578.32/102,906.32 = 27,054.48/x
  3. Step 3: Cross multiply
    68,578.32x = 102,906.32 × 27,054.48
  4. Step 4: Simplify right side
    68,578.32x = 2,784,076,976.31
  5. Step 5: Solve for x
    x = 2,784,076,976.31/68,578.32
  6. Step 6: Final answer
    x = 40,597.04

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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.