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Finding the Fourth Proportional to 49,196, 73,794 and 16,364

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Solution

The fourth proportional to 49,196, 73,794 and 16,364 is: 24,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196 : 73,794 = 16,364 : x
  2. Step 2: Convert to fraction form
    49,196/73,794 = 16,364/x
  3. Step 3: Cross multiply
    49,196x = 73,794 × 16,364
  4. Step 4: Simplify right side
    49,196x = 1,207,565,016
  5. Step 5: Solve for x
    x = 1,207,565,016/49,196
  6. Step 6: Final answer
    x = 24,546

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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.