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Finding the Fourth Proportional to 31,078.35, 46,596.77 and 9,723.83

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Solution

The fourth proportional to 31,078.35, 46,596.77 and 9,723.83 is: 14,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.35 : 46,596.77 = 9,723.83 : x
  2. Step 2: Convert to fraction form
    31,078.35/46,596.77 = 9,723.83/x
  3. Step 3: Cross multiply
    31,078.35x = 46,596.77 × 9,723.83
  4. Step 4: Simplify right side
    31,078.35x = 453,099,283.58
  5. Step 5: Solve for x
    x = 453,099,283.58/31,078.35
  6. Step 6: Final answer
    x = 14,579.26

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