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Finding the Fourth Proportional to 31,378.68, 47,083.41 and 13,827.60

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Solution

The fourth proportional to 31,378.68, 47,083.41 and 13,827.60 is: 20,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.68 : 47,083.41 = 13,827.60 : x
  2. Step 2: Convert to fraction form
    31,378.68/47,083.41 = 13,827.60/x
  3. Step 3: Cross multiply
    31,378.68x = 47,083.41 × 13,827.60
  4. Step 4: Simplify right side
    31,378.68x = 651,050,560.12
  5. Step 5: Solve for x
    x = 651,050,560.12/31,378.68
  6. Step 6: Final answer
    x = 20,748.18

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