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Finding the Fourth Proportional to 78,581.96, 117,829.86 and 31,149

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Solution

The fourth proportional to 78,581.96, 117,829.86 and 31,149 is: 46,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.96 : 117,829.86 = 31,149 : x
  2. Step 2: Convert to fraction form
    78,581.96/117,829.86 = 31,149/x
  3. Step 3: Cross multiply
    78,581.96x = 117,829.86 × 31,149
  4. Step 4: Simplify right side
    78,581.96x = 3,670,282,192.33
  5. Step 5: Solve for x
    x = 3,670,282,192.33/78,581.96
  6. Step 6: Final answer
    x = 46,706.42

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