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Finding the Fourth Proportional to 105,493.28, 158,222.64 and 31,604

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Solution

The fourth proportional to 105,493.28, 158,222.64 and 31,604 is: 47,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,493.28 : 158,222.64 = 31,604 : x
  2. Step 2: Convert to fraction form
    105,493.28/158,222.64 = 31,604/x
  3. Step 3: Cross multiply
    105,493.28x = 158,222.64 × 31,604
  4. Step 4: Simplify right side
    105,493.28x = 5,000,468,314.56
  5. Step 5: Solve for x
    x = 5,000,468,314.56/105,493.28
  6. Step 6: Final answer
    x = 47,400.82

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