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Finding the Fourth Proportional to 49,756, 74,634 and 16,924

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Solution

The fourth proportional to 49,756, 74,634 and 16,924 is: 25,386

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,756 : 74,634 = 16,924 : x
  2. Step 2: Convert to fraction form
    49,756/74,634 = 16,924/x
  3. Step 3: Cross multiply
    49,756x = 74,634 × 16,924
  4. Step 4: Simplify right side
    49,756x = 1,263,105,816
  5. Step 5: Solve for x
    x = 1,263,105,816/49,756
  6. Step 6: Final answer
    x = 25,386

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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.