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Finding the Fourth Proportional to 33,714.36, 50,315.19 and 29,977.77

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Solution

The fourth proportional to 33,714.36, 50,315.19 and 29,977.77 is: 44,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.36 : 50,315.19 = 29,977.77 : x
  2. Step 2: Convert to fraction form
    33,714.36/50,315.19 = 29,977.77/x
  3. Step 3: Cross multiply
    33,714.36x = 50,315.19 × 29,977.77
  4. Step 4: Simplify right side
    33,714.36x = 1,508,337,004.64
  5. Step 5: Solve for x
    x = 1,508,337,004.64/33,714.36
  6. Step 6: Final answer
    x = 44,738.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.