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Finding the Fourth Proportional to 102,656.85, 153,999.86 and 31,585.38

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Solution

The fourth proportional to 102,656.85, 153,999.86 and 31,585.38 is: 47,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.85 : 153,999.86 = 31,585.38 : x
  2. Step 2: Convert to fraction form
    102,656.85/153,999.86 = 31,585.38/x
  3. Step 3: Cross multiply
    102,656.85x = 153,999.86 × 31,585.38
  4. Step 4: Simplify right side
    102,656.85x = 4,864,143,940.12
  5. Step 5: Solve for x
    x = 4,864,143,940.12/102,656.85
  6. Step 6: Final answer
    x = 47,382.56

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