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Finding the Fourth Proportional to 77,571.81, 116,375.94 and 24,979.32

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Solution

The fourth proportional to 77,571.81, 116,375.94 and 24,979.32 is: 37,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571.81 : 116,375.94 = 24,979.32 : x
  2. Step 2: Convert to fraction form
    77,571.81/116,375.94 = 24,979.32/x
  3. Step 3: Cross multiply
    77,571.81x = 116,375.94 × 24,979.32
  4. Step 4: Simplify right side
    77,571.81x = 2,906,991,845.56
  5. Step 5: Solve for x
    x = 2,906,991,845.56/77,571.81
  6. Step 6: Final answer
    x = 37,474.85

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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.