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Finding the Fourth Proportional to 32,827.80, 49,245.12 and 10,640.28

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Solution

The fourth proportional to 32,827.80, 49,245.12 and 10,640.28 is: 15,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.80 : 49,245.12 = 10,640.28 : x
  2. Step 2: Convert to fraction form
    32,827.80/49,245.12 = 10,640.28/x
  3. Step 3: Cross multiply
    32,827.80x = 49,245.12 × 10,640.28
  4. Step 4: Simplify right side
    32,827.80x = 523,981,865.43
  5. Step 5: Solve for x
    x = 523,981,865.43/32,827.80
  6. Step 6: Final answer
    x = 15,961.53

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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.