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Finding the Fourth Proportional to 49,838.14, 74,771.64 and 14,778.64

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Solution

The fourth proportional to 49,838.14, 74,771.64 and 14,778.64 is: 22,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838.14 : 74,771.64 = 14,778.64 : x
  2. Step 2: Convert to fraction form
    49,838.14/74,771.64 = 14,778.64/x
  3. Step 3: Cross multiply
    49,838.14x = 74,771.64 × 14,778.64
  4. Step 4: Simplify right side
    49,838.14x = 1,105,023,149.77
  5. Step 5: Solve for x
    x = 1,105,023,149.77/49,838.14
  6. Step 6: Final answer
    x = 22,172.24

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