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Finding the Fourth Proportional to 29,294.77, 43,942.16 and 7,107.96

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Solution

The fourth proportional to 29,294.77, 43,942.16 and 7,107.96 is: 10,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.77 : 43,942.16 = 7,107.96 : x
  2. Step 2: Convert to fraction form
    29,294.77/43,942.16 = 7,107.96/x
  3. Step 3: Cross multiply
    29,294.77x = 43,942.16 × 7,107.96
  4. Step 4: Simplify right side
    29,294.77x = 312,339,115.59
  5. Step 5: Solve for x
    x = 312,339,115.59/29,294.77
  6. Step 6: Final answer
    x = 10,661.94

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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.