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Finding the Fourth Proportional to 29,676.98, 40,954.24 and 16,249.10

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Solution

The fourth proportional to 29,676.98, 40,954.24 and 16,249.10 is: 22,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.98 : 40,954.24 = 16,249.10 : x
  2. Step 2: Convert to fraction form
    29,676.98/40,954.24 = 16,249.10/x
  3. Step 3: Cross multiply
    29,676.98x = 40,954.24 × 16,249.10
  4. Step 4: Simplify right side
    29,676.98x = 665,469,541.18
  5. Step 5: Solve for x
    x = 665,469,541.18/29,676.98
  6. Step 6: Final answer
    x = 22,423.76

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1.5x scale

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.