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Finding the Fourth Proportional to 32,809, 49,213.50 and 10,640.92

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Solution

The fourth proportional to 32,809, 49,213.50 and 10,640.92 is: 15,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809 : 49,213.50 = 10,640.92 : x
  2. Step 2: Convert to fraction form
    32,809/49,213.50 = 10,640.92/x
  3. Step 3: Cross multiply
    32,809x = 49,213.50 × 10,640.92
  4. Step 4: Simplify right side
    32,809x = 523,676,916.42
  5. Step 5: Solve for x
    x = 523,676,916.42/32,809
  6. Step 6: Final answer
    x = 15,961.38

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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.