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Finding the Fourth Proportional to 34,589.82, 51,892.02 and 11,214.44

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Solution

The fourth proportional to 34,589.82, 51,892.02 and 11,214.44 is: 16,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589.82 : 51,892.02 = 11,214.44 : x
  2. Step 2: Convert to fraction form
    34,589.82/51,892.02 = 11,214.44/x
  3. Step 3: Cross multiply
    34,589.82x = 51,892.02 × 11,214.44
  4. Step 4: Simplify right side
    34,589.82x = 581,939,944.77
  5. Step 5: Solve for x
    x = 581,939,944.77/34,589.82
  6. Step 6: Final answer
    x = 16,824.02

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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.