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Finding the Fourth Proportional to 33,983.48, 50,976.12 and 20,041.58

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Solution

The fourth proportional to 33,983.48, 50,976.12 and 20,041.58 is: 30,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.48 : 50,976.12 = 20,041.58 : x
  2. Step 2: Convert to fraction form
    33,983.48/50,976.12 = 20,041.58/x
  3. Step 3: Cross multiply
    33,983.48x = 50,976.12 × 20,041.58
  4. Step 4: Simplify right side
    33,983.48x = 1,021,641,987.07
  5. Step 5: Solve for x
    x = 1,021,641,987.07/33,983.48
  6. Step 6: Final answer
    x = 30,062.90

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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.