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Finding the Fourth Proportional to 38,178.92, 57,206.82 and 20,657

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Solution

The fourth proportional to 38,178.92, 57,206.82 and 20,657 is: 30,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.92 : 57,206.82 = 20,657 : x
  2. Step 2: Convert to fraction form
    38,178.92/57,206.82 = 20,657/x
  3. Step 3: Cross multiply
    38,178.92x = 57,206.82 × 20,657
  4. Step 4: Simplify right side
    38,178.92x = 1,181,721,280.74
  5. Step 5: Solve for x
    x = 1,181,721,280.74/38,178.92
  6. Step 6: Final answer
    x = 30,952.19

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