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Finding the Fourth Proportional to 29,692, 40,977.29 and 16,942.24

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Solution

The fourth proportional to 29,692, 40,977.29 and 16,942.24 is: 23,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692 : 40,977.29 = 16,942.24 : x
  2. Step 2: Convert to fraction form
    29,692/40,977.29 = 16,942.24/x
  3. Step 3: Cross multiply
    29,692x = 40,977.29 × 16,942.24
  4. Step 4: Simplify right side
    29,692x = 694,247,081.73
  5. Step 5: Solve for x
    x = 694,247,081.73/29,692
  6. Step 6: Final answer
    x = 23,381.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.