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Finding the Fourth Proportional to 33,613.67, 50,408.76 and 9,914.93

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Solution

The fourth proportional to 33,613.67, 50,408.76 and 9,914.93 is: 14,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,613.67 : 50,408.76 = 9,914.93 : x
  2. Step 2: Convert to fraction form
    33,613.67/50,408.76 = 9,914.93/x
  3. Step 3: Cross multiply
    33,613.67x = 50,408.76 × 9,914.93
  4. Step 4: Simplify right side
    33,613.67x = 499,799,155.12
  5. Step 5: Solve for x
    x = 499,799,155.12/33,613.67
  6. Step 6: Final answer
    x = 14,868.92

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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.