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Finding the Fourth Proportional to 76,784.32, 105,982.16 and 49,993.76

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Solution

The fourth proportional to 76,784.32, 105,982.16 and 49,993.76 is: 69,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,784.32 : 105,982.16 = 49,993.76 : x
  2. Step 2: Convert to fraction form
    76,784.32/105,982.16 = 49,993.76/x
  3. Step 3: Cross multiply
    76,784.32x = 105,982.16 × 49,993.76
  4. Step 4: Simplify right side
    76,784.32x = 5,298,446,671.32
  5. Step 5: Solve for x
    x = 5,298,446,671.32/76,784.32
  6. Step 6: Final answer
    x = 69,004.28

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