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Finding the Fourth Proportional to 31,538.92, 47,303.80 and 10,188.78

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Solution

The fourth proportional to 31,538.92, 47,303.80 and 10,188.78 is: 15,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.92 : 47,303.80 = 10,188.78 : x
  2. Step 2: Convert to fraction form
    31,538.92/47,303.80 = 10,188.78/x
  3. Step 3: Cross multiply
    31,538.92x = 47,303.80 × 10,188.78
  4. Step 4: Simplify right side
    31,538.92x = 481,968,011.36
  5. Step 5: Solve for x
    x = 481,968,011.36/31,538.92
  6. Step 6: Final answer
    x = 15,281.69

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