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Finding the Fourth Proportional to 31,692.96, 47,537.57 and 9,506.75

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Solution

The fourth proportional to 31,692.96, 47,537.57 and 9,506.75 is: 14,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.96 : 47,537.57 = 9,506.75 : x
  2. Step 2: Convert to fraction form
    31,692.96/47,537.57 = 9,506.75/x
  3. Step 3: Cross multiply
    31,692.96x = 47,537.57 × 9,506.75
  4. Step 4: Simplify right side
    31,692.96x = 451,927,579.68
  5. Step 5: Solve for x
    x = 451,927,579.68/31,692.96
  6. Step 6: Final answer
    x = 14,259.56

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