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Finding the Fourth Proportional to 31,853.92, 47,657.34 and 22,989.64

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Solution

The fourth proportional to 31,853.92, 47,657.34 and 22,989.64 is: 34,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.92 : 47,657.34 = 22,989.64 : x
  2. Step 2: Convert to fraction form
    31,853.92/47,657.34 = 22,989.64/x
  3. Step 3: Cross multiply
    31,853.92x = 47,657.34 × 22,989.64
  4. Step 4: Simplify right side
    31,853.92x = 1,095,625,089.96
  5. Step 5: Solve for x
    x = 1,095,625,089.96/31,853.92
  6. Step 6: Final answer
    x = 34,395.30

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