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Finding the Fourth Proportional to 41,393, 62,096 and 13,697.48

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Solution

The fourth proportional to 41,393, 62,096 and 13,697.48 is: 20,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,393 : 62,096 = 13,697.48 : x
  2. Step 2: Convert to fraction form
    41,393/62,096 = 13,697.48/x
  3. Step 3: Cross multiply
    41,393x = 62,096 × 13,697.48
  4. Step 4: Simplify right side
    41,393x = 850,558,718.08
  5. Step 5: Solve for x
    x = 850,558,718.08/41,393
  6. Step 6: Final answer
    x = 20,548.37

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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.