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Finding the Fourth Proportional to 35,674.49, 49,231.16 and 21,524.60

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Solution

The fourth proportional to 35,674.49, 49,231.16 and 21,524.60 is: 29,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.49 : 49,231.16 = 21,524.60 : x
  2. Step 2: Convert to fraction form
    35,674.49/49,231.16 = 21,524.60/x
  3. Step 3: Cross multiply
    35,674.49x = 49,231.16 × 21,524.60
  4. Step 4: Simplify right side
    35,674.49x = 1,059,681,163.07
  5. Step 5: Solve for x
    x = 1,059,681,163.07/35,674.49
  6. Step 6: Final answer
    x = 29,704.17

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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.