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Finding the Fourth Proportional to 31,034.96, 42,842.76 and 19,863.44

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Solution

The fourth proportional to 31,034.96, 42,842.76 and 19,863.44 is: 27,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.96 : 42,842.76 = 19,863.44 : x
  2. Step 2: Convert to fraction form
    31,034.96/42,842.76 = 19,863.44/x
  3. Step 3: Cross multiply
    31,034.96x = 42,842.76 × 19,863.44
  4. Step 4: Simplify right side
    31,034.96x = 851,004,592.69
  5. Step 5: Solve for x
    x = 851,004,592.69/31,034.96
  6. Step 6: Final answer
    x = 27,420.84

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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.