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Finding the Fourth Proportional to 29,676.64, 44,500.62 and 10,965.49

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Solution

The fourth proportional to 29,676.64, 44,500.62 and 10,965.49 is: 16,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.64 : 44,500.62 = 10,965.49 : x
  2. Step 2: Convert to fraction form
    29,676.64/44,500.62 = 10,965.49/x
  3. Step 3: Cross multiply
    29,676.64x = 44,500.62 × 10,965.49
  4. Step 4: Simplify right side
    29,676.64x = 487,971,103.60
  5. Step 5: Solve for x
    x = 487,971,103.60/29,676.64
  6. Step 6: Final answer
    x = 16,442.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.