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Finding the Fourth Proportional to 33,647.64, 46,383.93 and 21,546.78

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Solution

The fourth proportional to 33,647.64, 46,383.93 and 21,546.78 is: 29,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.64 : 46,383.93 = 21,546.78 : x
  2. Step 2: Convert to fraction form
    33,647.64/46,383.93 = 21,546.78/x
  3. Step 3: Cross multiply
    33,647.64x = 46,383.93 × 21,546.78
  4. Step 4: Simplify right side
    33,647.64x = 999,424,335.25
  5. Step 5: Solve for x
    x = 999,424,335.25/33,647.64
  6. Step 6: Final answer
    x = 29,702.66

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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.