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Finding the Fourth Proportional to 102,538.05, 153,806.62 and 27,665.80

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Solution

The fourth proportional to 102,538.05, 153,806.62 and 27,665.80 is: 41,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.05 : 153,806.62 = 27,665.80 : x
  2. Step 2: Convert to fraction form
    102,538.05/153,806.62 = 27,665.80/x
  3. Step 3: Cross multiply
    102,538.05x = 153,806.62 × 27,665.80
  4. Step 4: Simplify right side
    102,538.05x = 4,255,183,728.76
  5. Step 5: Solve for x
    x = 4,255,183,728.76/102,538.05
  6. Step 6: Final answer
    x = 41,498.58

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