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Finding the Fourth Proportional to 33,065, 49,600.68 and 10,878.44

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Solution

The fourth proportional to 33,065, 49,600.68 and 10,878.44 is: 16,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065 : 49,600.68 = 10,878.44 : x
  2. Step 2: Convert to fraction form
    33,065/49,600.68 = 10,878.44/x
  3. Step 3: Cross multiply
    33,065x = 49,600.68 × 10,878.44
  4. Step 4: Simplify right side
    33,065x = 539,578,021.34
  5. Step 5: Solve for x
    x = 539,578,021.34/33,065
  6. Step 6: Final answer
    x = 16,318.71

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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.