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Finding the Fourth Proportional to 33,784.56, 46,639.32 and 21,216.24

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Solution

The fourth proportional to 33,784.56, 46,639.32 and 21,216.24 is: 29,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.56 : 46,639.32 = 21,216.24 : x
  2. Step 2: Convert to fraction form
    33,784.56/46,639.32 = 21,216.24/x
  3. Step 3: Cross multiply
    33,784.56x = 46,639.32 × 21,216.24
  4. Step 4: Simplify right side
    33,784.56x = 989,511,006.56
  5. Step 5: Solve for x
    x = 989,511,006.56/33,784.56
  6. Step 6: Final answer
    x = 29,288.85

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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.