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Finding the Fourth Proportional to 31,649.64, 43,676.76 and 17,503.44

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Solution

The fourth proportional to 31,649.64, 43,676.76 and 17,503.44 is: 24,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.64 : 43,676.76 = 17,503.44 : x
  2. Step 2: Convert to fraction form
    31,649.64/43,676.76 = 17,503.44/x
  3. Step 3: Cross multiply
    31,649.64x = 43,676.76 × 17,503.44
  4. Step 4: Simplify right side
    31,649.64x = 764,493,548.05
  5. Step 5: Solve for x
    x = 764,493,548.05/31,649.64
  6. Step 6: Final answer
    x = 24,154.89

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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.