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Finding the Fourth Proportional to 102,084.48, 153,116.74 and 31,007.73

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Solution

The fourth proportional to 102,084.48, 153,116.74 and 31,007.73 is: 46,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,084.48 : 153,116.74 = 31,007.73 : x
  2. Step 2: Convert to fraction form
    102,084.48/153,116.74 = 31,007.73/x
  3. Step 3: Cross multiply
    102,084.48x = 153,116.74 × 31,007.73
  4. Step 4: Simplify right side
    102,084.48x = 4,747,802,377.36
  5. Step 5: Solve for x
    x = 4,747,802,377.36/102,084.48
  6. Step 6: Final answer
    x = 46,508.56

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