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Finding the Fourth Proportional to 30,856.91, 46,275.89 and 16,057.80

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Solution

The fourth proportional to 30,856.91, 46,275.89 and 16,057.80 is: 24,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.91 : 46,275.89 = 16,057.80 : x
  2. Step 2: Convert to fraction form
    30,856.91/46,275.89 = 16,057.80/x
  3. Step 3: Cross multiply
    30,856.91x = 46,275.89 × 16,057.80
  4. Step 4: Simplify right side
    30,856.91x = 743,088,906.15
  5. Step 5: Solve for x
    x = 743,088,906.15/30,856.91
  6. Step 6: Final answer
    x = 24,081.77

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