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Finding the Fourth Proportional to 82,783.22, 114,262.82 and 50,978.78

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Solution

The fourth proportional to 82,783.22, 114,262.82 and 50,978.78 is: 70,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.22 : 114,262.82 = 50,978.78 : x
  2. Step 2: Convert to fraction form
    82,783.22/114,262.82 = 50,978.78/x
  3. Step 3: Cross multiply
    82,783.22x = 114,262.82 × 50,978.78
  4. Step 4: Simplify right side
    82,783.22x = 5,824,979,162.96
  5. Step 5: Solve for x
    x = 5,824,979,162.96/82,783.22
  6. Step 6: Final answer
    x = 70,364.25

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