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Finding the Fourth Proportional to 33,401, 46,096.74 and 18,497

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Solution

The fourth proportional to 33,401, 46,096.74 and 18,497 is: 25,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401 : 46,096.74 = 18,497 : x
  2. Step 2: Convert to fraction form
    33,401/46,096.74 = 18,497/x
  3. Step 3: Cross multiply
    33,401x = 46,096.74 × 18,497
  4. Step 4: Simplify right side
    33,401x = 852,651,399.78
  5. Step 5: Solve for x
    x = 852,651,399.78/33,401
  6. Step 6: Final answer
    x = 25,527.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.