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Finding the Fourth Proportional to 31,744.04, 43,806.10 and 18,314.32

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Solution

The fourth proportional to 31,744.04, 43,806.10 and 18,314.32 is: 25,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.04 : 43,806.10 = 18,314.32 : x
  2. Step 2: Convert to fraction form
    31,744.04/43,806.10 = 18,314.32/x
  3. Step 3: Cross multiply
    31,744.04x = 43,806.10 × 18,314.32
  4. Step 4: Simplify right side
    31,744.04x = 802,278,933.35
  5. Step 5: Solve for x
    x = 802,278,933.35/31,744.04
  6. Step 6: Final answer
    x = 25,273.37

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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.