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Finding the Fourth Proportional to 33,644.65, 50,412.30 and 21,142.30

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Solution

The fourth proportional to 33,644.65, 50,412.30 and 21,142.30 is: 31,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.65 : 50,412.30 = 21,142.30 : x
  2. Step 2: Convert to fraction form
    33,644.65/50,412.30 = 21,142.30/x
  3. Step 3: Cross multiply
    33,644.65x = 50,412.30 × 21,142.30
  4. Step 4: Simplify right side
    33,644.65x = 1,065,831,970.29
  5. Step 5: Solve for x
    x = 1,065,831,970.29/33,644.65
  6. Step 6: Final answer
    x = 31,679.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.