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Finding the Fourth Proportional to 33,855.69, 50,784.71 and 16,077.20

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Solution

The fourth proportional to 33,855.69, 50,784.71 and 16,077.20 is: 24,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,855.69 : 50,784.71 = 16,077.20 : x
  2. Step 2: Convert to fraction form
    33,855.69/50,784.71 = 16,077.20/x
  3. Step 3: Cross multiply
    33,855.69x = 50,784.71 × 16,077.20
  4. Step 4: Simplify right side
    33,855.69x = 816,475,605.30
  5. Step 5: Solve for x
    x = 816,475,605.30/33,855.69
  6. Step 6: Final answer
    x = 24,116.35

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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.