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Finding the Fourth Proportional to 29,963.25, 44,945.69 and 9,186.75

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Solution

The fourth proportional to 29,963.25, 44,945.69 and 9,186.75 is: 13,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963.25 : 44,945.69 = 9,186.75 : x
  2. Step 2: Convert to fraction form
    29,963.25/44,945.69 = 9,186.75/x
  3. Step 3: Cross multiply
    29,963.25x = 44,945.69 × 9,186.75
  4. Step 4: Simplify right side
    29,963.25x = 412,904,771.67
  5. Step 5: Solve for x
    x = 412,904,771.67/29,963.25
  6. Step 6: Final answer
    x = 13,780.37

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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.