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Finding the Fourth Proportional to 78,774.24, 117,883.80 and 49,206

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Solution

The fourth proportional to 78,774.24, 117,883.80 and 49,206 is: 73,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774.24 : 117,883.80 = 49,206 : x
  2. Step 2: Convert to fraction form
    78,774.24/117,883.80 = 49,206/x
  3. Step 3: Cross multiply
    78,774.24x = 117,883.80 × 49,206
  4. Step 4: Simplify right side
    78,774.24x = 5,800,590,262.80
  5. Step 5: Solve for x
    x = 5,800,590,262.80/78,774.24
  6. Step 6: Final answer
    x = 73,635.62

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