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Finding the Fourth Proportional to 29,820.16, 44,729.21 and 7,633.73

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Solution

The fourth proportional to 29,820.16, 44,729.21 and 7,633.73 is: 11,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.16 : 44,729.21 = 7,633.73 : x
  2. Step 2: Convert to fraction form
    29,820.16/44,729.21 = 7,633.73/x
  3. Step 3: Cross multiply
    29,820.16x = 44,729.21 × 7,633.73
  4. Step 4: Simplify right side
    29,820.16x = 341,450,675.43
  5. Step 5: Solve for x
    x = 341,450,675.43/29,820.16
  6. Step 6: Final answer
    x = 11,450.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.