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Finding the Fourth Proportional to 37,594.74, 51,949.17 and 35,772.78

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Solution

The fourth proportional to 37,594.74, 51,949.17 and 35,772.78 is: 49,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594.74 : 51,949.17 = 35,772.78 : x
  2. Step 2: Convert to fraction form
    37,594.74/51,949.17 = 35,772.78/x
  3. Step 3: Cross multiply
    37,594.74x = 51,949.17 × 35,772.78
  4. Step 4: Simplify right side
    37,594.74x = 1,858,366,229.59
  5. Step 5: Solve for x
    x = 1,858,366,229.59/37,594.74
  6. Step 6: Final answer
    x = 49,431.55

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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.