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Finding the Fourth Proportional to 51,942.64, 71,719.23 and 31,827

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Solution

The fourth proportional to 51,942.64, 71,719.23 and 31,827 is: 43,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,942.64 : 71,719.23 = 31,827 : x
  2. Step 2: Convert to fraction form
    51,942.64/71,719.23 = 31,827/x
  3. Step 3: Cross multiply
    51,942.64x = 71,719.23 × 31,827
  4. Step 4: Simplify right side
    51,942.64x = 2,282,607,933.21
  5. Step 5: Solve for x
    x = 2,282,607,933.21/51,942.64
  6. Step 6: Final answer
    x = 43,944.78

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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.