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Finding the Fourth Proportional to 102,538.80, 153,807.75 and 27,666.56

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Solution

The fourth proportional to 102,538.80, 153,807.75 and 27,666.56 is: 41,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.80 : 153,807.75 = 27,666.56 : x
  2. Step 2: Convert to fraction form
    102,538.80/153,807.75 = 27,666.56/x
  3. Step 3: Cross multiply
    102,538.80x = 153,807.75 × 27,666.56
  4. Step 4: Simplify right side
    102,538.80x = 4,255,330,574.80
  5. Step 5: Solve for x
    x = 4,255,330,574.80/102,538.80
  6. Step 6: Final answer
    x = 41,499.71

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