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Finding the Fourth Proportional to 68,276.30, 102,414.44 and 21,532.82

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Solution

The fourth proportional to 68,276.30, 102,414.44 and 21,532.82 is: 32,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,276.30 : 102,414.44 = 21,532.82 : x
  2. Step 2: Convert to fraction form
    68,276.30/102,414.44 = 21,532.82/x
  3. Step 3: Cross multiply
    68,276.30x = 102,414.44 × 21,532.82
  4. Step 4: Simplify right side
    68,276.30x = 2,205,271,701.92
  5. Step 5: Solve for x
    x = 2,205,271,701.92/68,276.30
  6. Step 6: Final answer
    x = 32,299.23

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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.