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Finding the Fourth Proportional to 52,831.38, 72,914.78 and 32,694.75

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Solution

The fourth proportional to 52,831.38, 72,914.78 and 32,694.75 is: 45,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.38 : 72,914.78 = 32,694.75 : x
  2. Step 2: Convert to fraction form
    52,831.38/72,914.78 = 32,694.75/x
  3. Step 3: Cross multiply
    52,831.38x = 72,914.78 × 32,694.75
  4. Step 4: Simplify right side
    52,831.38x = 2,383,930,503.41
  5. Step 5: Solve for x
    x = 2,383,930,503.41/52,831.38
  6. Step 6: Final answer
    x = 45,123.38

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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.