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Finding the Fourth Proportional to 82,644.38, 114,049.24 and 49,110.38

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Solution

The fourth proportional to 82,644.38, 114,049.24 and 49,110.38 is: 67,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.38 : 114,049.24 = 49,110.38 : x
  2. Step 2: Convert to fraction form
    82,644.38/114,049.24 = 49,110.38/x
  3. Step 3: Cross multiply
    82,644.38x = 114,049.24 × 49,110.38
  4. Step 4: Simplify right side
    82,644.38x = 5,601,000,822.09
  5. Step 5: Solve for x
    x = 5,601,000,822.09/82,644.38
  6. Step 6: Final answer
    x = 67,772.32

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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.