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Finding the Fourth Proportional to 29,301.34, 43,967.97 and 12,431.71

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Solution

The fourth proportional to 29,301.34, 43,967.97 and 12,431.71 is: 18,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301.34 : 43,967.97 = 12,431.71 : x
  2. Step 2: Convert to fraction form
    29,301.34/43,967.97 = 12,431.71/x
  3. Step 3: Cross multiply
    29,301.34x = 43,967.97 × 12,431.71
  4. Step 4: Simplify right side
    29,301.34x = 546,597,052.33
  5. Step 5: Solve for x
    x = 546,597,052.33/29,301.34
  6. Step 6: Final answer
    x = 18,654.34

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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.