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Finding the Fourth Proportional to 29,121.54, 43,684.13 and 7,773.85

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Solution

The fourth proportional to 29,121.54, 43,684.13 and 7,773.85 is: 11,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121.54 : 43,684.13 = 7,773.85 : x
  2. Step 2: Convert to fraction form
    29,121.54/43,684.13 = 7,773.85/x
  3. Step 3: Cross multiply
    29,121.54x = 43,684.13 × 7,773.85
  4. Step 4: Simplify right side
    29,121.54x = 339,593,874.00
  5. Step 5: Solve for x
    x = 339,593,874.00/29,121.54
  6. Step 6: Final answer
    x = 11,661.26

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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.