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Finding the Fourth Proportional to 73,137.32, 109,623.02 and 33,612.78

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Solution

The fourth proportional to 73,137.32, 109,623.02 and 33,612.78 is: 50,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137.32 : 109,623.02 = 33,612.78 : x
  2. Step 2: Convert to fraction form
    73,137.32/109,623.02 = 33,612.78/x
  3. Step 3: Cross multiply
    73,137.32x = 109,623.02 × 33,612.78
  4. Step 4: Simplify right side
    73,137.32x = 3,684,734,454.20
  5. Step 5: Solve for x
    x = 3,684,734,454.20/73,137.32
  6. Step 6: Final answer
    x = 50,381.04

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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.