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Finding the Fourth Proportional to 33,509.94, 50,267.31 and 10,138.20

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Solution

The fourth proportional to 33,509.94, 50,267.31 and 10,138.20 is: 15,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.94 : 50,267.31 = 10,138.20 : x
  2. Step 2: Convert to fraction form
    33,509.94/50,267.31 = 10,138.20/x
  3. Step 3: Cross multiply
    33,509.94x = 50,267.31 × 10,138.20
  4. Step 4: Simplify right side
    33,509.94x = 509,620,042.24
  5. Step 5: Solve for x
    x = 509,620,042.24/33,509.94
  6. Step 6: Final answer
    x = 15,208.03

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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.