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Finding the Fourth Proportional to 32,434.80, 48,564.32 and 16,819.68

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Solution

The fourth proportional to 32,434.80, 48,564.32 and 16,819.68 is: 25,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.80 : 48,564.32 = 16,819.68 : x
  2. Step 2: Convert to fraction form
    32,434.80/48,564.32 = 16,819.68/x
  3. Step 3: Cross multiply
    32,434.80x = 48,564.32 × 16,819.68
  4. Step 4: Simplify right side
    32,434.80x = 816,836,321.82
  5. Step 5: Solve for x
    x = 816,836,321.82/32,434.80
  6. Step 6: Final answer
    x = 25,183.95

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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.