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Finding the Fourth Proportional to 49,804.48, 68,730.96 and 27,448.48

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Solution

The fourth proportional to 49,804.48, 68,730.96 and 27,448.48 is: 37,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,804.48 : 68,730.96 = 27,448.48 : x
  2. Step 2: Convert to fraction form
    49,804.48/68,730.96 = 27,448.48/x
  3. Step 3: Cross multiply
    49,804.48x = 68,730.96 × 27,448.48
  4. Step 4: Simplify right side
    49,804.48x = 1,886,560,380.94
  5. Step 5: Solve for x
    x = 1,886,560,380.94/49,804.48
  6. Step 6: Final answer
    x = 37,879.33

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1.5x scale

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.