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Finding the Fourth Proportional to 31,531.23, 47,295.48 and 7,838.28

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Solution

The fourth proportional to 31,531.23, 47,295.48 and 7,838.28 is: 11,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.23 : 47,295.48 = 7,838.28 : x
  2. Step 2: Convert to fraction form
    31,531.23/47,295.48 = 7,838.28/x
  3. Step 3: Cross multiply
    31,531.23x = 47,295.48 × 7,838.28
  4. Step 4: Simplify right side
    31,531.23x = 370,715,214.97
  5. Step 5: Solve for x
    x = 370,715,214.97/31,531.23
  6. Step 6: Final answer
    x = 11,757.08

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