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Finding the Fourth Proportional to 50,783.28, 76,182.02 and 21,194.34

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Solution

The fourth proportional to 50,783.28, 76,182.02 and 21,194.34 is: 31,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.28 : 76,182.02 = 21,194.34 : x
  2. Step 2: Convert to fraction form
    50,783.28/76,182.02 = 21,194.34/x
  3. Step 3: Cross multiply
    50,783.28x = 76,182.02 × 21,194.34
  4. Step 4: Simplify right side
    50,783.28x = 1,614,627,527.80
  5. Step 5: Solve for x
    x = 1,614,627,527.80/50,783.28
  6. Step 6: Final answer
    x = 31,794.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.