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Finding the Fourth Proportional to 41,860, 62,794.12 and 13,768.64

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Solution

The fourth proportional to 41,860, 62,794.12 and 13,768.64 is: 20,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,860 : 62,794.12 = 13,768.64 : x
  2. Step 2: Convert to fraction form
    41,860/62,794.12 = 13,768.64/x
  3. Step 3: Cross multiply
    41,860x = 62,794.12 × 13,768.64
  4. Step 4: Simplify right side
    41,860x = 864,589,632.40
  5. Step 5: Solve for x
    x = 864,589,632.40/41,860
  6. Step 6: Final answer
    x = 20,654.32

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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.