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Finding the Fourth Proportional to 68,276.29, 102,414.44 and 21,532.81

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Solution

The fourth proportional to 68,276.29, 102,414.44 and 21,532.81 is: 32,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,276.29 : 102,414.44 = 21,532.81 : x
  2. Step 2: Convert to fraction form
    68,276.29/102,414.44 = 21,532.81/x
  3. Step 3: Cross multiply
    68,276.29x = 102,414.44 × 21,532.81
  4. Step 4: Simplify right side
    68,276.29x = 2,205,270,677.78
  5. Step 5: Solve for x
    x = 2,205,270,677.78/68,276.29
  6. Step 6: Final answer
    x = 32,299.22

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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.