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Finding the Fourth Proportional to 33,451.24, 50,178.78 and 10,075.24

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Solution

The fourth proportional to 33,451.24, 50,178.78 and 10,075.24 is: 15,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451.24 : 50,178.78 = 10,075.24 : x
  2. Step 2: Convert to fraction form
    33,451.24/50,178.78 = 10,075.24/x
  3. Step 3: Cross multiply
    33,451.24x = 50,178.78 × 10,075.24
  4. Step 4: Simplify right side
    33,451.24x = 505,563,251.41
  5. Step 5: Solve for x
    x = 505,563,251.41/33,451.24
  6. Step 6: Final answer
    x = 15,113.44

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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.