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Finding the Fourth Proportional to 29,682.98, 44,524.09 and 11,921.50

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Solution

The fourth proportional to 29,682.98, 44,524.09 and 11,921.50 is: 17,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.98 : 44,524.09 = 11,921.50 : x
  2. Step 2: Convert to fraction form
    29,682.98/44,524.09 = 11,921.50/x
  3. Step 3: Cross multiply
    29,682.98x = 44,524.09 × 11,921.50
  4. Step 4: Simplify right side
    29,682.98x = 530,793,938.94
  5. Step 5: Solve for x
    x = 530,793,938.94/29,682.98
  6. Step 6: Final answer
    x = 17,882.10

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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.