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Finding the Fourth Proportional to 31,644.41, 43,659.42 and 21,035.84

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Solution

The fourth proportional to 31,644.41, 43,659.42 and 21,035.84 is: 29,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.41 : 43,659.42 = 21,035.84 : x
  2. Step 2: Convert to fraction form
    31,644.41/43,659.42 = 21,035.84/x
  3. Step 3: Cross multiply
    31,644.41x = 43,659.42 × 21,035.84
  4. Step 4: Simplify right side
    31,644.41x = 918,412,573.61
  5. Step 5: Solve for x
    x = 918,412,573.61/31,644.41
  6. Step 6: Final answer
    x = 29,022.90

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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.