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Finding the Fourth Proportional to 33,438.78, 50,154.06 and 19,406.44

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Solution

The fourth proportional to 33,438.78, 50,154.06 and 19,406.44 is: 29,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.78 : 50,154.06 = 19,406.44 : x
  2. Step 2: Convert to fraction form
    33,438.78/50,154.06 = 19,406.44/x
  3. Step 3: Cross multiply
    33,438.78x = 50,154.06 × 19,406.44
  4. Step 4: Simplify right side
    33,438.78x = 973,311,630.76
  5. Step 5: Solve for x
    x = 973,311,630.76/33,438.78
  6. Step 6: Final answer
    x = 29,107.27

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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.