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Finding the Fourth Proportional to 33,909.70, 50,850.15 and 16,384.90

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Solution

The fourth proportional to 33,909.70, 50,850.15 and 16,384.90 is: 24,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,909.70 : 50,850.15 = 16,384.90 : x
  2. Step 2: Convert to fraction form
    33,909.70/50,850.15 = 16,384.90/x
  3. Step 3: Cross multiply
    33,909.70x = 50,850.15 × 16,384.90
  4. Step 4: Simplify right side
    33,909.70x = 833,174,622.74
  5. Step 5: Solve for x
    x = 833,174,622.74/33,909.70
  6. Step 6: Final answer
    x = 24,570.39

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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.