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Finding the Fourth Proportional to 68,076.95, 102,115.43 and 33,084.95

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Solution

The fourth proportional to 68,076.95, 102,115.43 and 33,084.95 is: 49,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076.95 : 102,115.43 = 33,084.95 : x
  2. Step 2: Convert to fraction form
    68,076.95/102,115.43 = 33,084.95/x
  3. Step 3: Cross multiply
    68,076.95x = 102,115.43 × 33,084.95
  4. Step 4: Simplify right side
    68,076.95x = 3,378,483,730.35
  5. Step 5: Solve for x
    x = 3,378,483,730.35/68,076.95
  6. Step 6: Final answer
    x = 49,627.43

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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.