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Finding the Fourth Proportional to 49,538, 74,307 and 16,706

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Solution

The fourth proportional to 49,538, 74,307 and 16,706 is: 25,059

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538 : 74,307 = 16,706 : x
  2. Step 2: Convert to fraction form
    49,538/74,307 = 16,706/x
  3. Step 3: Cross multiply
    49,538x = 74,307 × 16,706
  4. Step 4: Simplify right side
    49,538x = 1,241,372,742
  5. Step 5: Solve for x
    x = 1,241,372,742/49,538
  6. Step 6: Final answer
    x = 25,059

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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.