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Finding the Fourth Proportional to 33,652.67, 46,431.02 and 21,722.78

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Solution

The fourth proportional to 33,652.67, 46,431.02 and 21,722.78 is: 29,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.67 : 46,431.02 = 21,722.78 : x
  2. Step 2: Convert to fraction form
    33,652.67/46,431.02 = 21,722.78/x
  3. Step 3: Cross multiply
    33,652.67x = 46,431.02 × 21,722.78
  4. Step 4: Simplify right side
    33,652.67x = 1,008,611,003.02
  5. Step 5: Solve for x
    x = 1,008,611,003.02/33,652.67
  6. Step 6: Final answer
    x = 29,971.21

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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.