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Finding the Fourth Proportional to 29,576.34, 44,381.56 and 16,427.60

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Solution

The fourth proportional to 29,576.34, 44,381.56 and 16,427.60 is: 24,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.34 : 44,381.56 = 16,427.60 : x
  2. Step 2: Convert to fraction form
    29,576.34/44,381.56 = 16,427.60/x
  3. Step 3: Cross multiply
    29,576.34x = 44,381.56 × 16,427.60
  4. Step 4: Simplify right side
    29,576.34x = 729,082,515.06
  5. Step 5: Solve for x
    x = 729,082,515.06/29,576.34
  6. Step 6: Final answer
    x = 24,650.87

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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.