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Finding the Fourth Proportional to 33,827.57, 50,697.42 and 13,813.62

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Solution

The fourth proportional to 33,827.57, 50,697.42 and 13,813.62 is: 20,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,827.57 : 50,697.42 = 13,813.62 : x
  2. Step 2: Convert to fraction form
    33,827.57/50,697.42 = 13,813.62/x
  3. Step 3: Cross multiply
    33,827.57x = 50,697.42 × 13,813.62
  4. Step 4: Simplify right side
    33,827.57x = 700,314,894.86
  5. Step 5: Solve for x
    x = 700,314,894.86/33,827.57
  6. Step 6: Final answer
    x = 20,702.49

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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.