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Finding the Fourth Proportional to 49,879.73, 68,831.88 and 27,218.16

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Solution

The fourth proportional to 49,879.73, 68,831.88 and 27,218.16 is: 37,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,879.73 : 68,831.88 = 27,218.16 : x
  2. Step 2: Convert to fraction form
    49,879.73/68,831.88 = 27,218.16/x
  3. Step 3: Cross multiply
    49,879.73x = 68,831.88 × 27,218.16
  4. Step 4: Simplify right side
    49,879.73x = 1,873,477,122.94
  5. Step 5: Solve for x
    x = 1,873,477,122.94/49,879.73
  6. Step 6: Final answer
    x = 37,559.89

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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.