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Finding the Fourth Proportional to 37,638.80, 51,942.64 and 21,724.12

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Solution

The fourth proportional to 37,638.80, 51,942.64 and 21,724.12 is: 29,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.80 : 51,942.64 = 21,724.12 : x
  2. Step 2: Convert to fraction form
    37,638.80/51,942.64 = 21,724.12/x
  3. Step 3: Cross multiply
    37,638.80x = 51,942.64 × 21,724.12
  4. Step 4: Simplify right side
    37,638.80x = 1,128,408,144.48
  5. Step 5: Solve for x
    x = 1,128,408,144.48/37,638.80
  6. Step 6: Final answer
    x = 29,979.92

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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.