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Finding the Fourth Proportional to 73,121.94, 109,723.90 and 39,844.32

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Solution

The fourth proportional to 73,121.94, 109,723.90 and 39,844.32 is: 59,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,121.94 : 109,723.90 = 39,844.32 : x
  2. Step 2: Convert to fraction form
    73,121.94/109,723.90 = 39,844.32/x
  3. Step 3: Cross multiply
    73,121.94x = 109,723.90 × 39,844.32
  4. Step 4: Simplify right side
    73,121.94x = 4,371,874,183.25
  5. Step 5: Solve for x
    x = 4,371,874,183.25/73,121.94
  6. Step 6: Final answer
    x = 59,788.82

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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.