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Finding the Fourth Proportional to 31,652.42, 43,679.59 and 17,504.96

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Solution

The fourth proportional to 31,652.42, 43,679.59 and 17,504.96 is: 24,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.42 : 43,679.59 = 17,504.96 : x
  2. Step 2: Convert to fraction form
    31,652.42/43,679.59 = 17,504.96/x
  3. Step 3: Cross multiply
    31,652.42x = 43,679.59 × 17,504.96
  4. Step 4: Simplify right side
    31,652.42x = 764,609,213.61
  5. Step 5: Solve for x
    x = 764,609,213.61/31,652.42
  6. Step 6: Final answer
    x = 24,156.43

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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.