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Finding the Fourth Proportional to 29,821.47, 44,732.13 and 7,634.85

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Solution

The fourth proportional to 29,821.47, 44,732.13 and 7,634.85 is: 11,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.47 : 44,732.13 = 7,634.85 : x
  2. Step 2: Convert to fraction form
    29,821.47/44,732.13 = 7,634.85/x
  3. Step 3: Cross multiply
    29,821.47x = 44,732.13 × 7,634.85
  4. Step 4: Simplify right side
    29,821.47x = 341,523,102.73
  5. Step 5: Solve for x
    x = 341,523,102.73/29,821.47
  6. Step 6: Final answer
    x = 11,452.26

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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.