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Finding the Fourth Proportional to 57,209.58, 78,949.62 and 31,716.72

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Solution

The fourth proportional to 57,209.58, 78,949.62 and 31,716.72 is: 43,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.58 : 78,949.62 = 31,716.72 : x
  2. Step 2: Convert to fraction form
    57,209.58/78,949.62 = 31,716.72/x
  3. Step 3: Cross multiply
    57,209.58x = 78,949.62 × 31,716.72
  4. Step 4: Simplify right side
    57,209.58x = 2,504,022,991.65
  5. Step 5: Solve for x
    x = 2,504,022,991.65/57,209.58
  6. Step 6: Final answer
    x = 43,769.30

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