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Finding the Fourth Proportional to 45,872, 68,811.24 and 18,170

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Solution

The fourth proportional to 45,872, 68,811.24 and 18,170 is: 27,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,872 : 68,811.24 = 18,170 : x
  2. Step 2: Convert to fraction form
    45,872/68,811.24 = 18,170/x
  3. Step 3: Cross multiply
    45,872x = 68,811.24 × 18,170
  4. Step 4: Simplify right side
    45,872x = 1,250,300,230.80
  5. Step 5: Solve for x
    x = 1,250,300,230.80/45,872
  6. Step 6: Final answer
    x = 27,256.28

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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.