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Finding the Fourth Proportional to 31,085.70, 46,631.82 and 13,318.16

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Solution

The fourth proportional to 31,085.70, 46,631.82 and 13,318.16 is: 19,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.70 : 46,631.82 = 13,318.16 : x
  2. Step 2: Convert to fraction form
    31,085.70/46,631.82 = 13,318.16/x
  3. Step 3: Cross multiply
    31,085.70x = 46,631.82 × 13,318.16
  4. Step 4: Simplify right side
    31,085.70x = 621,050,039.85
  5. Step 5: Solve for x
    x = 621,050,039.85/31,085.70
  6. Step 6: Final answer
    x = 19,978.64

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