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Finding the Fourth Proportional to 49,804.80, 68,731.20 and 27,448.80

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Solution

The fourth proportional to 49,804.80, 68,731.20 and 27,448.80 is: 37,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,804.80 : 68,731.20 = 27,448.80 : x
  2. Step 2: Convert to fraction form
    49,804.80/68,731.20 = 27,448.80/x
  3. Step 3: Cross multiply
    49,804.80x = 68,731.20 × 27,448.80
  4. Step 4: Simplify right side
    49,804.80x = 1,886,588,962.56
  5. Step 5: Solve for x
    x = 1,886,588,962.56/49,804.80
  6. Step 6: Final answer
    x = 37,879.66

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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.