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Finding the Fourth Proportional to 55,742.82, 76,926.60 and 31,542

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Solution

The fourth proportional to 55,742.82, 76,926.60 and 31,542 is: 43,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742.82 : 76,926.60 = 31,542 : x
  2. Step 2: Convert to fraction form
    55,742.82/76,926.60 = 31,542/x
  3. Step 3: Cross multiply
    55,742.82x = 76,926.60 × 31,542
  4. Step 4: Simplify right side
    55,742.82x = 2,426,418,817.20
  5. Step 5: Solve for x
    x = 2,426,418,817.20/55,742.82
  6. Step 6: Final answer
    x = 43,528.81

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