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Finding the Fourth Proportional to 76,784.16, 115,128.72 and 29,982

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Solution

The fourth proportional to 76,784.16, 115,128.72 and 29,982 is: 44,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,784.16 : 115,128.72 = 29,982 : x
  2. Step 2: Convert to fraction form
    76,784.16/115,128.72 = 29,982/x
  3. Step 3: Cross multiply
    76,784.16x = 115,128.72 × 29,982
  4. Step 4: Simplify right side
    76,784.16x = 3,451,789,283.04
  5. Step 5: Solve for x
    x = 3,451,789,283.04/76,784.16
  6. Step 6: Final answer
    x = 44,954.44

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