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Finding the Fourth Proportional to 36,469.64, 54,713.10 and 13,098.44

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Solution

The fourth proportional to 36,469.64, 54,713.10 and 13,098.44 is: 19,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469.64 : 54,713.10 = 13,098.44 : x
  2. Step 2: Convert to fraction form
    36,469.64/54,713.10 = 13,098.44/x
  3. Step 3: Cross multiply
    36,469.64x = 54,713.10 × 13,098.44
  4. Step 4: Simplify right side
    36,469.64x = 716,656,257.56
  5. Step 5: Solve for x
    x = 716,656,257.56/36,469.64
  6. Step 6: Final answer
    x = 19,650.76

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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.