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Finding the Fourth Proportional to 29,945.73, 44,918.73 and 7,757.54

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Solution

The fourth proportional to 29,945.73, 44,918.73 and 7,757.54 is: 11,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,945.73 : 44,918.73 = 7,757.54 : x
  2. Step 2: Convert to fraction form
    29,945.73/44,918.73 = 7,757.54/x
  3. Step 3: Cross multiply
    29,945.73x = 44,918.73 × 7,757.54
  4. Step 4: Simplify right side
    29,945.73x = 348,458,844.72
  5. Step 5: Solve for x
    x = 348,458,844.72/29,945.73
  6. Step 6: Final answer
    x = 11,636.34

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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.