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Finding the Fourth Proportional to 31,096.78, 42,914.72 and 17,670.31

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Solution

The fourth proportional to 31,096.78, 42,914.72 and 17,670.31 is: 24,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.78 : 42,914.72 = 17,670.31 : x
  2. Step 2: Convert to fraction form
    31,096.78/42,914.72 = 17,670.31/x
  3. Step 3: Cross multiply
    31,096.78x = 42,914.72 × 17,670.31
  4. Step 4: Simplify right side
    31,096.78x = 758,316,342.85
  5. Step 5: Solve for x
    x = 758,316,342.85/31,096.78
  6. Step 6: Final answer
    x = 24,385.69

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