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Finding the Fourth Proportional to 43,225.92, 64,850.22 and 18,252

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Solution

The fourth proportional to 43,225.92, 64,850.22 and 18,252 is: 27,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,225.92 : 64,850.22 = 18,252 : x
  2. Step 2: Convert to fraction form
    43,225.92/64,850.22 = 18,252/x
  3. Step 3: Cross multiply
    43,225.92x = 64,850.22 × 18,252
  4. Step 4: Simplify right side
    43,225.92x = 1,183,646,215.44
  5. Step 5: Solve for x
    x = 1,183,646,215.44/43,225.92
  6. Step 6: Final answer
    x = 27,382.79

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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.