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Finding the Fourth Proportional to 29,837, 44,755.66 and 7,949

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Solution

The fourth proportional to 29,837, 44,755.66 and 7,949 is: 11,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837 : 44,755.66 = 7,949 : x
  2. Step 2: Convert to fraction form
    29,837/44,755.66 = 7,949/x
  3. Step 3: Cross multiply
    29,837x = 44,755.66 × 7,949
  4. Step 4: Simplify right side
    29,837x = 355,762,741.34
  5. Step 5: Solve for x
    x = 355,762,741.34/29,837
  6. Step 6: Final answer
    x = 11,923.54

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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.