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Finding the Fourth Proportional to 36,566, 54,849 and 11,942

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Solution

The fourth proportional to 36,566, 54,849 and 11,942 is: 17,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566 : 54,849 = 11,942 : x
  2. Step 2: Convert to fraction form
    36,566/54,849 = 11,942/x
  3. Step 3: Cross multiply
    36,566x = 54,849 × 11,942
  4. Step 4: Simplify right side
    36,566x = 655,006,758
  5. Step 5: Solve for x
    x = 655,006,758/36,566
  6. Step 6: Final answer
    x = 17,913

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.