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Finding the Fourth Proportional to 34,401, 47,474.10 and 19,497

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Solution

The fourth proportional to 34,401, 47,474.10 and 19,497 is: 26,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401 : 47,474.10 = 19,497 : x
  2. Step 2: Convert to fraction form
    34,401/47,474.10 = 19,497/x
  3. Step 3: Cross multiply
    34,401x = 47,474.10 × 19,497
  4. Step 4: Simplify right side
    34,401x = 925,602,527.70
  5. Step 5: Solve for x
    x = 925,602,527.70/34,401
  6. Step 6: Final answer
    x = 26,906.27

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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.