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Finding the Fourth Proportional to 82,642.38, 114,046.45 and 49,108.38

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Solution

The fourth proportional to 82,642.38, 114,046.45 and 49,108.38 is: 67,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.38 : 114,046.45 = 49,108.38 : x
  2. Step 2: Convert to fraction form
    82,642.38/114,046.45 = 49,108.38/x
  3. Step 3: Cross multiply
    82,642.38x = 114,046.45 × 49,108.38
  4. Step 4: Simplify right side
    82,642.38x = 5,600,635,853.81
  5. Step 5: Solve for x
    x = 5,600,635,853.81/82,642.38
  6. Step 6: Final answer
    x = 67,769.54

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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.