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Finding the Fourth Proportional to 49,222, 73,833.54 and 12,286

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Solution

The fourth proportional to 49,222, 73,833.54 and 12,286 is: 18,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222 : 73,833.54 = 12,286 : x
  2. Step 2: Convert to fraction form
    49,222/73,833.54 = 12,286/x
  3. Step 3: Cross multiply
    49,222x = 73,833.54 × 12,286
  4. Step 4: Simplify right side
    49,222x = 907,118,872.44
  5. Step 5: Solve for x
    x = 907,118,872.44/49,222
  6. Step 6: Final answer
    x = 18,429.13

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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.