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Finding the Fourth Proportional to 68,415.20, 102,612.54 and 21,662

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Solution

The fourth proportional to 68,415.20, 102,612.54 and 21,662 is: 32,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,415.20 : 102,612.54 = 21,662 : x
  2. Step 2: Convert to fraction form
    68,415.20/102,612.54 = 21,662/x
  3. Step 3: Cross multiply
    68,415.20x = 102,612.54 × 21,662
  4. Step 4: Simplify right side
    68,415.20x = 2,222,792,841.48
  5. Step 5: Solve for x
    x = 2,222,792,841.48/68,415.20
  6. Step 6: Final answer
    x = 32,489.75

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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.