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Finding the Fourth Proportional to 57,016.32, 78,682.32 and 31,865.82

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Solution

The fourth proportional to 57,016.32, 78,682.32 and 31,865.82 is: 43,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.32 : 78,682.32 = 31,865.82 : x
  2. Step 2: Convert to fraction form
    57,016.32/78,682.32 = 31,865.82/x
  3. Step 3: Cross multiply
    57,016.32x = 78,682.32 × 31,865.82
  4. Step 4: Simplify right side
    57,016.32x = 2,507,276,558.52
  5. Step 5: Solve for x
    x = 2,507,276,558.52/57,016.32
  6. Step 6: Final answer
    x = 43,974.72

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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.