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Finding the Fourth Proportional to 33,406.31, 50,109.77 and 10,032.75

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Solution

The fourth proportional to 33,406.31, 50,109.77 and 10,032.75 is: 15,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.31 : 50,109.77 = 10,032.75 : x
  2. Step 2: Convert to fraction form
    33,406.31/50,109.77 = 10,032.75/x
  3. Step 3: Cross multiply
    33,406.31x = 50,109.77 × 10,032.75
  4. Step 4: Simplify right side
    33,406.31x = 502,738,820.05
  5. Step 5: Solve for x
    x = 502,738,820.05/33,406.31
  6. Step 6: Final answer
    x = 15,049.22

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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.