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Finding the Fourth Proportional to 31,778.63, 47,670.71 and 10,424.94

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Solution

The fourth proportional to 31,778.63, 47,670.71 and 10,424.94 is: 15,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.63 : 47,670.71 = 10,424.94 : x
  2. Step 2: Convert to fraction form
    31,778.63/47,670.71 = 10,424.94/x
  3. Step 3: Cross multiply
    31,778.63x = 47,670.71 × 10,424.94
  4. Step 4: Simplify right side
    31,778.63x = 496,964,172.33
  5. Step 5: Solve for x
    x = 496,964,172.33/31,778.63
  6. Step 6: Final answer
    x = 15,638.32

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