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Finding the Fourth Proportional to 29,747, 44,620.50 and 11,279

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Solution

The fourth proportional to 29,747, 44,620.50 and 11,279 is: 16,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747 : 44,620.50 = 11,279 : x
  2. Step 2: Convert to fraction form
    29,747/44,620.50 = 11,279/x
  3. Step 3: Cross multiply
    29,747x = 44,620.50 × 11,279
  4. Step 4: Simplify right side
    29,747x = 503,274,619.50
  5. Step 5: Solve for x
    x = 503,274,619.50/29,747
  6. Step 6: Final answer
    x = 16,918.50

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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.