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Finding the Fourth Proportional to 36,103.26, 54,156 and 9,808.56

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Solution

The fourth proportional to 36,103.26, 54,156 and 9,808.56 is: 14,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,103.26 : 54,156 = 9,808.56 : x
  2. Step 2: Convert to fraction form
    36,103.26/54,156 = 9,808.56/x
  3. Step 3: Cross multiply
    36,103.26x = 54,156 × 9,808.56
  4. Step 4: Simplify right side
    36,103.26x = 531,192,375.36
  5. Step 5: Solve for x
    x = 531,192,375.36/36,103.26
  6. Step 6: Final answer
    x = 14,713.14

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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.