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Finding the Fourth Proportional to 49,791.70, 74,687.55 and 31,359.70

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Solution

The fourth proportional to 49,791.70, 74,687.55 and 31,359.70 is: 47,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,791.70 : 74,687.55 = 31,359.70 : x
  2. Step 2: Convert to fraction form
    49,791.70/74,687.55 = 31,359.70/x
  3. Step 3: Cross multiply
    49,791.70x = 74,687.55 × 31,359.70
  4. Step 4: Simplify right side
    49,791.70x = 2,342,179,161.74
  5. Step 5: Solve for x
    x = 2,342,179,161.74/49,791.70
  6. Step 6: Final answer
    x = 47,039.55

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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.