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Finding the Fourth Proportional to 54,698.48, 75,481.76 and 30,830

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Solution

The fourth proportional to 54,698.48, 75,481.76 and 30,830 is: 42,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.48 : 75,481.76 = 30,830 : x
  2. Step 2: Convert to fraction form
    54,698.48/75,481.76 = 30,830/x
  3. Step 3: Cross multiply
    54,698.48x = 75,481.76 × 30,830
  4. Step 4: Simplify right side
    54,698.48x = 2,327,102,660.80
  5. Step 5: Solve for x
    x = 2,327,102,660.80/54,698.48
  6. Step 6: Final answer
    x = 42,544.19

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