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Finding the Fourth Proportional to 31,183.83, 43,043.94 and 24,822.09

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Solution

The fourth proportional to 31,183.83, 43,043.94 and 24,822.09 is: 34,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.83 : 43,043.94 = 24,822.09 : x
  2. Step 2: Convert to fraction form
    31,183.83/43,043.94 = 24,822.09/x
  3. Step 3: Cross multiply
    31,183.83x = 43,043.94 × 24,822.09
  4. Step 4: Simplify right side
    31,183.83x = 1,068,440,552.63
  5. Step 5: Solve for x
    x = 1,068,440,552.63/31,183.83
  6. Step 6: Final answer
    x = 34,262.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.