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Finding the Fourth Proportional to 57,086.94, 78,783.03 and 31,932.06

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Solution

The fourth proportional to 57,086.94, 78,783.03 and 31,932.06 is: 44,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,086.94 : 78,783.03 = 31,932.06 : x
  2. Step 2: Convert to fraction form
    57,086.94/78,783.03 = 31,932.06/x
  3. Step 3: Cross multiply
    57,086.94x = 78,783.03 × 31,932.06
  4. Step 4: Simplify right side
    57,086.94x = 2,515,704,440.94
  5. Step 5: Solve for x
    x = 2,515,704,440.94/57,086.94
  6. Step 6: Final answer
    x = 44,067.95

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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.