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Finding the Fourth Proportional to 29,756, 44,640.48 and 11,288

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Solution

The fourth proportional to 29,756, 44,640.48 and 11,288 is: 16,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756 : 44,640.48 = 11,288 : x
  2. Step 2: Convert to fraction form
    29,756/44,640.48 = 11,288/x
  3. Step 3: Cross multiply
    29,756x = 44,640.48 × 11,288
  4. Step 4: Simplify right side
    29,756x = 503,901,738.24
  5. Step 5: Solve for x
    x = 503,901,738.24/29,756
  6. Step 6: Final answer
    x = 16,934.46

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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.