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Finding the Fourth Proportional to 27,958.42, 41,936.37 and 7,967.98

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Solution

The fourth proportional to 27,958.42, 41,936.37 and 7,967.98 is: 11,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958.42 : 41,936.37 = 7,967.98 : x
  2. Step 2: Convert to fraction form
    27,958.42/41,936.37 = 7,967.98/x
  3. Step 3: Cross multiply
    27,958.42x = 41,936.37 × 7,967.98
  4. Step 4: Simplify right side
    27,958.42x = 334,148,157.43
  5. Step 5: Solve for x
    x = 334,148,157.43/27,958.42
  6. Step 6: Final answer
    x = 11,951.61

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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.