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Finding the Fourth Proportional to 68,072.64, 102,039.30 and 23,662.95

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Solution

The fourth proportional to 68,072.64, 102,039.30 and 23,662.95 is: 35,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072.64 : 102,039.30 = 23,662.95 : x
  2. Step 2: Convert to fraction form
    68,072.64/102,039.30 = 23,662.95/x
  3. Step 3: Cross multiply
    68,072.64x = 102,039.30 × 23,662.95
  4. Step 4: Simplify right side
    68,072.64x = 2,414,550,853.94
  5. Step 5: Solve for x
    x = 2,414,550,853.94/68,072.64
  6. Step 6: Final answer
    x = 35,470.21

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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.