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Finding the Fourth Proportional to 50,947.01, 76,420.46 and 33,412.74

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Solution

The fourth proportional to 50,947.01, 76,420.46 and 33,412.74 is: 50,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947.01 : 76,420.46 = 33,412.74 : x
  2. Step 2: Convert to fraction form
    50,947.01/76,420.46 = 33,412.74/x
  3. Step 3: Cross multiply
    50,947.01x = 76,420.46 × 33,412.74
  4. Step 4: Simplify right side
    50,947.01x = 2,553,416,757.62
  5. Step 5: Solve for x
    x = 2,553,416,757.62/50,947.01
  6. Step 6: Final answer
    x = 50,119.07

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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.