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Finding the Fourth Proportional to 57,213.49, 78,959.27 and 31,727.84

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Solution

The fourth proportional to 57,213.49, 78,959.27 and 31,727.84 is: 43,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.49 : 78,959.27 = 31,727.84 : x
  2. Step 2: Convert to fraction form
    57,213.49/78,959.27 = 31,727.84/x
  3. Step 3: Cross multiply
    57,213.49x = 78,959.27 × 31,727.84
  4. Step 4: Simplify right side
    57,213.49x = 2,505,206,769.60
  5. Step 5: Solve for x
    x = 2,505,206,769.60/57,213.49
  6. Step 6: Final answer
    x = 43,786.99

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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.