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Finding the Fourth Proportional to 49,698.94, 68,582.78 and 27,037.30

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Solution

The fourth proportional to 49,698.94, 68,582.78 and 27,037.30 is: 37,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,698.94 : 68,582.78 = 27,037.30 : x
  2. Step 2: Convert to fraction form
    49,698.94/68,582.78 = 27,037.30/x
  3. Step 3: Cross multiply
    49,698.94x = 68,582.78 × 27,037.30
  4. Step 4: Simplify right side
    49,698.94x = 1,854,293,197.69
  5. Step 5: Solve for x
    x = 1,854,293,197.69/49,698.94
  6. Step 6: Final answer
    x = 37,310.52

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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.