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Finding the Fourth Proportional to 33,709.40, 50,564.10 and 16,213.40

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Solution

The fourth proportional to 33,709.40, 50,564.10 and 16,213.40 is: 24,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.40 : 50,564.10 = 16,213.40 : x
  2. Step 2: Convert to fraction form
    33,709.40/50,564.10 = 16,213.40/x
  3. Step 3: Cross multiply
    33,709.40x = 50,564.10 × 16,213.40
  4. Step 4: Simplify right side
    33,709.40x = 819,815,978.94
  5. Step 5: Solve for x
    x = 819,815,978.94/33,709.40
  6. Step 6: Final answer
    x = 24,320.10

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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.