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Finding the Fourth Proportional to 33,056.42, 45,586.41 and 21,735.50

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Solution

The fourth proportional to 33,056.42, 45,586.41 and 21,735.50 is: 29,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056.42 : 45,586.41 = 21,735.50 : x
  2. Step 2: Convert to fraction form
    33,056.42/45,586.41 = 21,735.50/x
  3. Step 3: Cross multiply
    33,056.42x = 45,586.41 × 21,735.50
  4. Step 4: Simplify right side
    33,056.42x = 990,843,414.56
  5. Step 5: Solve for x
    x = 990,843,414.56/33,056.42
  6. Step 6: Final answer
    x = 29,974.31

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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.