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Finding the Fourth Proportional to 57,106.50, 78,807.24 and 31,956

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Solution

The fourth proportional to 57,106.50, 78,807.24 and 31,956 is: 44,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106.50 : 78,807.24 = 31,956 : x
  2. Step 2: Convert to fraction form
    57,106.50/78,807.24 = 31,956/x
  3. Step 3: Cross multiply
    57,106.50x = 78,807.24 × 31,956
  4. Step 4: Simplify right side
    57,106.50x = 2,518,364,161.44
  5. Step 5: Solve for x
    x = 2,518,364,161.44/57,106.50
  6. Step 6: Final answer
    x = 44,099.43

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