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Finding the Fourth Proportional to 29,845.25, 44,767.89 and 7,658.63

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Solution

The fourth proportional to 29,845.25, 44,767.89 and 7,658.63 is: 11,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845.25 : 44,767.89 = 7,658.63 : x
  2. Step 2: Convert to fraction form
    29,845.25/44,767.89 = 7,658.63/x
  3. Step 3: Cross multiply
    29,845.25x = 44,767.89 × 7,658.63
  4. Step 4: Simplify right side
    29,845.25x = 342,860,481.55
  5. Step 5: Solve for x
    x = 342,860,481.55/29,845.25
  6. Step 6: Final answer
    x = 11,487.94

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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.