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Finding the Fourth Proportional to 36,659.94, 54,934.53 and 27,255.84

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Solution

The fourth proportional to 36,659.94, 54,934.53 and 27,255.84 is: 40,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,659.94 : 54,934.53 = 27,255.84 : x
  2. Step 2: Convert to fraction form
    36,659.94/54,934.53 = 27,255.84/x
  3. Step 3: Cross multiply
    36,659.94x = 54,934.53 × 27,255.84
  4. Step 4: Simplify right side
    36,659.94x = 1,497,286,760.16
  5. Step 5: Solve for x
    x = 1,497,286,760.16/36,659.94
  6. Step 6: Final answer
    x = 40,842.59

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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.