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Finding the Fourth Proportional to 68,371.96, 102,569.97 and 23,382.74

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Solution

The fourth proportional to 68,371.96, 102,569.97 and 23,382.74 is: 35,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,371.96 : 102,569.97 = 23,382.74 : x
  2. Step 2: Convert to fraction form
    68,371.96/102,569.97 = 23,382.74/x
  3. Step 3: Cross multiply
    68,371.96x = 102,569.97 × 23,382.74
  4. Step 4: Simplify right side
    68,371.96x = 2,398,366,427.47
  5. Step 5: Solve for x
    x = 2,398,366,427.47/68,371.96
  6. Step 6: Final answer
    x = 35,078.22

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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.