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Finding the Fourth Proportional to 31,802.78, 47,705.20 and 15,999.20

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Solution

The fourth proportional to 31,802.78, 47,705.20 and 15,999.20 is: 23,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.78 : 47,705.20 = 15,999.20 : x
  2. Step 2: Convert to fraction form
    31,802.78/47,705.20 = 15,999.20/x
  3. Step 3: Cross multiply
    31,802.78x = 47,705.20 × 15,999.20
  4. Step 4: Simplify right side
    31,802.78x = 763,245,035.84
  5. Step 5: Solve for x
    x = 763,245,035.84/31,802.78
  6. Step 6: Final answer
    x = 23,999.32

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