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Finding the Fourth Proportional to 41,846.72, 57,764.20 and 27,718.72

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Solution

The fourth proportional to 41,846.72, 57,764.20 and 27,718.72 is: 38,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,846.72 : 57,764.20 = 27,718.72 : x
  2. Step 2: Convert to fraction form
    41,846.72/57,764.20 = 27,718.72/x
  3. Step 3: Cross multiply
    41,846.72x = 57,764.20 × 27,718.72
  4. Step 4: Simplify right side
    41,846.72x = 1,601,149,685.82
  5. Step 5: Solve for x
    x = 1,601,149,685.82/41,846.72
  6. Step 6: Final answer
    x = 38,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.