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Finding the Fourth Proportional to 57,220.25, 78,964.90 and 31,727.69

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Solution

The fourth proportional to 57,220.25, 78,964.90 and 31,727.69 is: 43,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220.25 : 78,964.90 = 31,727.69 : x
  2. Step 2: Convert to fraction form
    57,220.25/78,964.90 = 31,727.69/x
  3. Step 3: Cross multiply
    57,220.25x = 78,964.90 × 31,727.69
  4. Step 4: Simplify right side
    57,220.25x = 2,505,373,473.26
  5. Step 5: Solve for x
    x = 2,505,373,473.26/57,220.25
  6. Step 6: Final answer
    x = 43,784.73

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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.