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Finding the Fourth Proportional to 54,646.64, 75,410.89 and 30,772.80

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Solution

The fourth proportional to 54,646.64, 75,410.89 and 30,772.80 is: 42,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.64 : 75,410.89 = 30,772.80 : x
  2. Step 2: Convert to fraction form
    54,646.64/75,410.89 = 30,772.80/x
  3. Step 3: Cross multiply
    54,646.64x = 75,410.89 × 30,772.80
  4. Step 4: Simplify right side
    54,646.64x = 2,320,604,081.93
  5. Step 5: Solve for x
    x = 2,320,604,081.93/54,646.64
  6. Step 6: Final answer
    x = 42,465.63

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