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Finding the Fourth Proportional to 31,770.12, 47,661.39 and 9,585.30

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Solution

The fourth proportional to 31,770.12, 47,661.39 and 9,585.30 is: 14,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.12 : 47,661.39 = 9,585.30 : x
  2. Step 2: Convert to fraction form
    31,770.12/47,661.39 = 9,585.30/x
  3. Step 3: Cross multiply
    31,770.12x = 47,661.39 × 9,585.30
  4. Step 4: Simplify right side
    31,770.12x = 456,848,721.57
  5. Step 5: Solve for x
    x = 456,848,721.57/31,770.12
  6. Step 6: Final answer
    x = 14,379.82

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