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Finding the Fourth Proportional to 32,864, 45,353.44 and 17,960.96

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Solution

The fourth proportional to 32,864, 45,353.44 and 17,960.96 is: 24,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864 : 45,353.44 = 17,960.96 : x
  2. Step 2: Convert to fraction form
    32,864/45,353.44 = 17,960.96/x
  3. Step 3: Cross multiply
    32,864x = 45,353.44 × 17,960.96
  4. Step 4: Simplify right side
    32,864x = 814,591,321.70
  5. Step 5: Solve for x
    x = 814,591,321.70/32,864
  6. Step 6: Final answer
    x = 24,786.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.