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Finding the Fourth Proportional to 49,145.38, 67,820.68 and 26,789.38

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Solution

The fourth proportional to 49,145.38, 67,820.68 and 26,789.38 is: 36,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,145.38 : 67,820.68 = 26,789.38 : x
  2. Step 2: Convert to fraction form
    49,145.38/67,820.68 = 26,789.38/x
  3. Step 3: Cross multiply
    49,145.38x = 67,820.68 × 26,789.38
  4. Step 4: Simplify right side
    49,145.38x = 1,816,873,968.38
  5. Step 5: Solve for x
    x = 1,816,873,968.38/49,145.38
  6. Step 6: Final answer
    x = 36,969.37

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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.