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Finding the Fourth Proportional to 100,382.40, 150,400.80 and 47,678.40

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Solution

The fourth proportional to 100,382.40, 150,400.80 and 47,678.40 is: 71,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.40 : 150,400.80 = 47,678.40 : x
  2. Step 2: Convert to fraction form
    100,382.40/150,400.80 = 47,678.40/x
  3. Step 3: Cross multiply
    100,382.40x = 150,400.80 × 47,678.40
  4. Step 4: Simplify right side
    100,382.40x = 7,170,869,502.72
  5. Step 5: Solve for x
    x = 7,170,869,502.72/100,382.40
  6. Step 6: Final answer
    x = 71,435.53

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