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Finding the Fourth Proportional to 48,849.80, 73,274.70 and 33,816.20

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Solution

The fourth proportional to 48,849.80, 73,274.70 and 33,816.20 is: 50,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,849.80 : 73,274.70 = 33,816.20 : x
  2. Step 2: Convert to fraction form
    48,849.80/73,274.70 = 33,816.20/x
  3. Step 3: Cross multiply
    48,849.80x = 73,274.70 × 33,816.20
  4. Step 4: Simplify right side
    48,849.80x = 2,477,871,910.14
  5. Step 5: Solve for x
    x = 2,477,871,910.14/48,849.80
  6. Step 6: Final answer
    x = 50,724.30

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Why These Related Problems?

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