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Finding the Fourth Proportional to 68,371.71, 102,569.60 and 23,382.49

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Solution

The fourth proportional to 68,371.71, 102,569.60 and 23,382.49 is: 35,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,371.71 : 102,569.60 = 23,382.49 : x
  2. Step 2: Convert to fraction form
    68,371.71/102,569.60 = 23,382.49/x
  3. Step 3: Cross multiply
    68,371.71x = 102,569.60 × 23,382.49
  4. Step 4: Simplify right side
    68,371.71x = 2,398,332,016.54
  5. Step 5: Solve for x
    x = 2,398,332,016.54/68,371.71
  6. Step 6: Final answer
    x = 35,077.84

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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.