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Finding the Fourth Proportional to 73,314.96, 109,923.12 and 33,850.32

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Solution

The fourth proportional to 73,314.96, 109,923.12 and 33,850.32 is: 50,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,314.96 : 109,923.12 = 33,850.32 : x
  2. Step 2: Convert to fraction form
    73,314.96/109,923.12 = 33,850.32/x
  3. Step 3: Cross multiply
    73,314.96x = 109,923.12 × 33,850.32
  4. Step 4: Simplify right side
    73,314.96x = 3,720,932,787.40
  5. Step 5: Solve for x
    x = 3,720,932,787.40/73,314.96
  6. Step 6: Final answer
    x = 50,752.71

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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.