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Finding the Fourth Proportional to 102,426.57, 153,662.41 and 31,349.75

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Solution

The fourth proportional to 102,426.57, 153,662.41 and 31,349.75 is: 47,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,426.57 : 153,662.41 = 31,349.75 : x
  2. Step 2: Convert to fraction form
    102,426.57/153,662.41 = 31,349.75/x
  3. Step 3: Cross multiply
    102,426.57x = 153,662.41 × 31,349.75
  4. Step 4: Simplify right side
    102,426.57x = 4,817,278,137.90
  5. Step 5: Solve for x
    x = 4,817,278,137.90/102,426.57
  6. Step 6: Final answer
    x = 47,031.53

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