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Finding the Fourth Proportional to 33,537.68, 50,314.32 and 9,845.60

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Solution

The fourth proportional to 33,537.68, 50,314.32 and 9,845.60 is: 14,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.68 : 50,314.32 = 9,845.60 : x
  2. Step 2: Convert to fraction form
    33,537.68/50,314.32 = 9,845.60/x
  3. Step 3: Cross multiply
    33,537.68x = 50,314.32 × 9,845.60
  4. Step 4: Simplify right side
    33,537.68x = 495,374,668.99
  5. Step 5: Solve for x
    x = 495,374,668.99/33,537.68
  6. Step 6: Final answer
    x = 14,770.69

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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.