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Finding the Fourth Proportional to 55,942.68, 77,200.92 and 30,792

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Solution

The fourth proportional to 55,942.68, 77,200.92 and 30,792 is: 42,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,942.68 : 77,200.92 = 30,792 : x
  2. Step 2: Convert to fraction form
    55,942.68/77,200.92 = 30,792/x
  3. Step 3: Cross multiply
    55,942.68x = 77,200.92 × 30,792
  4. Step 4: Simplify right side
    55,942.68x = 2,377,170,728.64
  5. Step 5: Solve for x
    x = 2,377,170,728.64/55,942.68
  6. Step 6: Final answer
    x = 42,492.97

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