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Finding the Fourth Proportional to 56,171.28, 77,516.40 and 30,678

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Solution

The fourth proportional to 56,171.28, 77,516.40 and 30,678 is: 42,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,171.28 : 77,516.40 = 30,678 : x
  2. Step 2: Convert to fraction form
    56,171.28/77,516.40 = 30,678/x
  3. Step 3: Cross multiply
    56,171.28x = 77,516.40 × 30,678
  4. Step 4: Simplify right side
    56,171.28x = 2,378,048,119.20
  5. Step 5: Solve for x
    x = 2,378,048,119.20/56,171.28
  6. Step 6: Final answer
    x = 42,335.66

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