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Finding the Fourth Proportional to 33,947.82, 50,855.51 and 22,225.50

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Solution

The fourth proportional to 33,947.82, 50,855.51 and 22,225.50 is: 33,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.82 : 50,855.51 = 22,225.50 : x
  2. Step 2: Convert to fraction form
    33,947.82/50,855.51 = 22,225.50/x
  3. Step 3: Cross multiply
    33,947.82x = 50,855.51 × 22,225.50
  4. Step 4: Simplify right side
    33,947.82x = 1,130,289,193.07
  5. Step 5: Solve for x
    x = 1,130,289,193.07/33,947.82
  6. Step 6: Final answer
    x = 33,294.90

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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.