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Finding the Fourth Proportional to 54,951.40, 75,831.78 and 36,087.40

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Solution

The fourth proportional to 54,951.40, 75,831.78 and 36,087.40 is: 49,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.40 : 75,831.78 = 36,087.40 : x
  2. Step 2: Convert to fraction form
    54,951.40/75,831.78 = 36,087.40/x
  3. Step 3: Cross multiply
    54,951.40x = 75,831.78 × 36,087.40
  4. Step 4: Simplify right side
    54,951.40x = 2,736,571,777.57
  5. Step 5: Solve for x
    x = 2,736,571,777.57/54,951.40
  6. Step 6: Final answer
    x = 49,799.86

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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.