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Finding the Fourth Proportional to 29,674.17, 44,515.17 and 9,676.64

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Solution

The fourth proportional to 29,674.17, 44,515.17 and 9,676.64 is: 14,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.17 : 44,515.17 = 9,676.64 : x
  2. Step 2: Convert to fraction form
    29,674.17/44,515.17 = 9,676.64/x
  3. Step 3: Cross multiply
    29,674.17x = 44,515.17 × 9,676.64
  4. Step 4: Simplify right side
    29,674.17x = 430,757,343.39
  5. Step 5: Solve for x
    x = 430,757,343.39/29,674.17
  6. Step 6: Final answer
    x = 14,516.24

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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.