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Finding the Fourth Proportional to 29,257.12, 43,822.72 and 16,742

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Solution

The fourth proportional to 29,257.12, 43,822.72 and 16,742 is: 25,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257.12 : 43,822.72 = 16,742 : x
  2. Step 2: Convert to fraction form
    29,257.12/43,822.72 = 16,742/x
  3. Step 3: Cross multiply
    29,257.12x = 43,822.72 × 16,742
  4. Step 4: Simplify right side
    29,257.12x = 733,679,978.24
  5. Step 5: Solve for x
    x = 733,679,978.24/29,257.12
  6. Step 6: Final answer
    x = 25,076.97

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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.