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Finding the Fourth Proportional to 31,802.86, 47,705.64 and 10,743.40

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Solution

The fourth proportional to 31,802.86, 47,705.64 and 10,743.40 is: 16,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.86 : 47,705.64 = 10,743.40 : x
  2. Step 2: Convert to fraction form
    31,802.86/47,705.64 = 10,743.40/x
  3. Step 3: Cross multiply
    31,802.86x = 47,705.64 × 10,743.40
  4. Step 4: Simplify right side
    31,802.86x = 512,520,772.78
  5. Step 5: Solve for x
    x = 512,520,772.78/31,802.86
  6. Step 6: Final answer
    x = 16,115.56

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