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Finding the Fourth Proportional to 68,564.60, 102,857.70 and 21,822.20

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Solution

The fourth proportional to 68,564.60, 102,857.70 and 21,822.20 is: 32,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.60 : 102,857.70 = 21,822.20 : x
  2. Step 2: Convert to fraction form
    68,564.60/102,857.70 = 21,822.20/x
  3. Step 3: Cross multiply
    68,564.60x = 102,857.70 × 21,822.20
  4. Step 4: Simplify right side
    68,564.60x = 2,244,581,300.94
  5. Step 5: Solve for x
    x = 2,244,581,300.94/68,564.60
  6. Step 6: Final answer
    x = 32,736.74

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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.