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Finding the Fourth Proportional to 29,814.26, 44,721.23 and 7,627.64

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Solution

The fourth proportional to 29,814.26, 44,721.23 and 7,627.64 is: 11,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.26 : 44,721.23 = 7,627.64 : x
  2. Step 2: Convert to fraction form
    29,814.26/44,721.23 = 7,627.64/x
  3. Step 3: Cross multiply
    29,814.26x = 44,721.23 × 7,627.64
  4. Step 4: Simplify right side
    29,814.26x = 341,117,181.05
  5. Step 5: Solve for x
    x = 341,117,181.05/29,814.26
  6. Step 6: Final answer
    x = 11,441.41

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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.