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Finding the Fourth Proportional to 33,196.84, 49,792.53 and 11,002.96

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Solution

The fourth proportional to 33,196.84, 49,792.53 and 11,002.96 is: 16,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.84 : 49,792.53 = 11,002.96 : x
  2. Step 2: Convert to fraction form
    33,196.84/49,792.53 = 11,002.96/x
  3. Step 3: Cross multiply
    33,196.84x = 49,792.53 × 11,002.96
  4. Step 4: Simplify right side
    33,196.84x = 547,865,215.89
  5. Step 5: Solve for x
    x = 547,865,215.89/33,196.84
  6. Step 6: Final answer
    x = 16,503.54

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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.