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Finding the Fourth Proportional to 31,783.78, 47,647.32 and 12,048.94

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Solution

The fourth proportional to 31,783.78, 47,647.32 and 12,048.94 is: 18,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.78 : 47,647.32 = 12,048.94 : x
  2. Step 2: Convert to fraction form
    31,783.78/47,647.32 = 12,048.94/x
  3. Step 3: Cross multiply
    31,783.78x = 47,647.32 × 12,048.94
  4. Step 4: Simplify right side
    31,783.78x = 574,099,699.84
  5. Step 5: Solve for x
    x = 574,099,699.84/31,783.78
  6. Step 6: Final answer
    x = 18,062.66

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