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Finding the Fourth Proportional to 41,593.66, 62,353.22 and 15,280

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Solution

The fourth proportional to 41,593.66, 62,353.22 and 15,280 is: 22,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,593.66 : 62,353.22 = 15,280 : x
  2. Step 2: Convert to fraction form
    41,593.66/62,353.22 = 15,280/x
  3. Step 3: Cross multiply
    41,593.66x = 62,353.22 × 15,280
  4. Step 4: Simplify right side
    41,593.66x = 952,757,201.60
  5. Step 5: Solve for x
    x = 952,757,201.60/41,593.66
  6. Step 6: Final answer
    x = 22,906.31

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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.