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Finding the Fourth Proportional to 35,967.50, 49,634.07 and 19,834.80

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Solution

The fourth proportional to 35,967.50, 49,634.07 and 19,834.80 is: 27,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.50 : 49,634.07 = 19,834.80 : x
  2. Step 2: Convert to fraction form
    35,967.50/49,634.07 = 19,834.80/x
  3. Step 3: Cross multiply
    35,967.50x = 49,634.07 × 19,834.80
  4. Step 4: Simplify right side
    35,967.50x = 984,481,895.14
  5. Step 5: Solve for x
    x = 984,481,895.14/35,967.50
  6. Step 6: Final answer
    x = 27,371.43

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