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Finding the Fourth Proportional to 71,954.64, 107,944.44 and 22,033.56

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Solution

The fourth proportional to 71,954.64, 107,944.44 and 22,033.56 is: 33,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.64 : 107,944.44 = 22,033.56 : x
  2. Step 2: Convert to fraction form
    71,954.64/107,944.44 = 22,033.56/x
  3. Step 3: Cross multiply
    71,954.64x = 107,944.44 × 22,033.56
  4. Step 4: Simplify right side
    71,954.64x = 2,378,400,295.41
  5. Step 5: Solve for x
    x = 2,378,400,295.41/71,954.64
  6. Step 6: Final answer
    x = 33,054.16

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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.