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Finding the Fourth Proportional to 50,395.60, 69,544.74 and 27,733.96

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Solution

The fourth proportional to 50,395.60, 69,544.74 and 27,733.96 is: 38,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,395.60 : 69,544.74 = 27,733.96 : x
  2. Step 2: Convert to fraction form
    50,395.60/69,544.74 = 27,733.96/x
  3. Step 3: Cross multiply
    50,395.60x = 69,544.74 × 27,733.96
  4. Step 4: Simplify right side
    50,395.60x = 1,928,751,037.37
  5. Step 5: Solve for x
    x = 1,928,751,037.37/50,395.60
  6. Step 6: Final answer
    x = 38,272.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.