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Finding the Fourth Proportional to 33,196.50, 49,795.29 and 9,823.14

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Solution

The fourth proportional to 33,196.50, 49,795.29 and 9,823.14 is: 14,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.50 : 49,795.29 = 9,823.14 : x
  2. Step 2: Convert to fraction form
    33,196.50/49,795.29 = 9,823.14/x
  3. Step 3: Cross multiply
    33,196.50x = 49,795.29 × 9,823.14
  4. Step 4: Simplify right side
    33,196.50x = 489,146,105.01
  5. Step 5: Solve for x
    x = 489,146,105.01/33,196.50
  6. Step 6: Final answer
    x = 14,734.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.