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Finding the Fourth Proportional to 57,016.26, 78,682.05 and 31,865.76

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Solution

The fourth proportional to 57,016.26, 78,682.05 and 31,865.76 is: 43,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.26 : 78,682.05 = 31,865.76 : x
  2. Step 2: Convert to fraction form
    57,016.26/78,682.05 = 31,865.76/x
  3. Step 3: Cross multiply
    57,016.26x = 78,682.05 × 31,865.76
  4. Step 4: Simplify right side
    57,016.26x = 2,507,263,321.61
  5. Step 5: Solve for x
    x = 2,507,263,321.61/57,016.26
  6. Step 6: Final answer
    x = 43,974.53

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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.