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Finding the Fourth Proportional to 29,847, 44,770.50 and 11,379

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Solution

The fourth proportional to 29,847, 44,770.50 and 11,379 is: 17,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847 : 44,770.50 = 11,379 : x
  2. Step 2: Convert to fraction form
    29,847/44,770.50 = 11,379/x
  3. Step 3: Cross multiply
    29,847x = 44,770.50 × 11,379
  4. Step 4: Simplify right side
    29,847x = 509,443,519.50
  5. Step 5: Solve for x
    x = 509,443,519.50/29,847
  6. Step 6: Final answer
    x = 17,068.50

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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.