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Finding the Fourth Proportional to 54,887.80, 82,328.46 and 33,831.86

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Solution

The fourth proportional to 54,887.80, 82,328.46 and 33,831.86 is: 50,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,887.80 : 82,328.46 = 33,831.86 : x
  2. Step 2: Convert to fraction form
    54,887.80/82,328.46 = 33,831.86/x
  3. Step 3: Cross multiply
    54,887.80x = 82,328.46 × 33,831.86
  4. Step 4: Simplify right side
    54,887.80x = 2,785,324,932.74
  5. Step 5: Solve for x
    x = 2,785,324,932.74/54,887.80
  6. Step 6: Final answer
    x = 50,745.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.