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Finding the Fourth Proportional to 57,213.30, 78,959.01 and 31,727.66

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Solution

The fourth proportional to 57,213.30, 78,959.01 and 31,727.66 is: 43,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.30 : 78,959.01 = 31,727.66 : x
  2. Step 2: Convert to fraction form
    57,213.30/78,959.01 = 31,727.66/x
  3. Step 3: Cross multiply
    57,213.30x = 78,959.01 × 31,727.66
  4. Step 4: Simplify right side
    57,213.30x = 2,505,184,228.42
  5. Step 5: Solve for x
    x = 2,505,184,228.42/57,213.30
  6. Step 6: Final answer
    x = 43,786.75

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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.