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Finding the Fourth Proportional to 33,266.86, 49,885.25 and 9,568.98

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Solution

The fourth proportional to 33,266.86, 49,885.25 and 9,568.98 is: 14,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.86 : 49,885.25 = 9,568.98 : x
  2. Step 2: Convert to fraction form
    33,266.86/49,885.25 = 9,568.98/x
  3. Step 3: Cross multiply
    33,266.86x = 49,885.25 × 9,568.98
  4. Step 4: Simplify right side
    33,266.86x = 477,350,911.70
  5. Step 5: Solve for x
    x = 477,350,911.70/33,266.86
  6. Step 6: Final answer
    x = 14,349.14

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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.