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Finding the Fourth Proportional to 73,201.80, 109,821 and 33,786.48

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Solution

The fourth proportional to 73,201.80, 109,821 and 33,786.48 is: 50,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,201.80 : 109,821 = 33,786.48 : x
  2. Step 2: Convert to fraction form
    73,201.80/109,821 = 33,786.48/x
  3. Step 3: Cross multiply
    73,201.80x = 109,821 × 33,786.48
  4. Step 4: Simplify right side
    73,201.80x = 3,710,465,020.08
  5. Step 5: Solve for x
    x = 3,710,465,020.08/73,201.80
  6. Step 6: Final answer
    x = 50,688.17

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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.