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Finding the Fourth Proportional to 78,583.96, 117,832.86 and 31,151

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Solution

The fourth proportional to 78,583.96, 117,832.86 and 31,151 is: 46,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583.96 : 117,832.86 = 31,151 : x
  2. Step 2: Convert to fraction form
    78,583.96/117,832.86 = 31,151/x
  3. Step 3: Cross multiply
    78,583.96x = 117,832.86 × 31,151
  4. Step 4: Simplify right side
    78,583.96x = 3,670,611,421.86
  5. Step 5: Solve for x
    x = 3,670,611,421.86/78,583.96
  6. Step 6: Final answer
    x = 46,709.42

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