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Finding the Fourth Proportional to 31,831.54, 47,749.72 and 9,646.74

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Solution

The fourth proportional to 31,831.54, 47,749.72 and 9,646.74 is: 14,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.54 : 47,749.72 = 9,646.74 : x
  2. Step 2: Convert to fraction form
    31,831.54/47,749.72 = 9,646.74/x
  3. Step 3: Cross multiply
    31,831.54x = 47,749.72 × 9,646.74
  4. Step 4: Simplify right side
    31,831.54x = 460,629,133.91
  5. Step 5: Solve for x
    x = 460,629,133.91/31,831.54
  6. Step 6: Final answer
    x = 14,470.84

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