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Finding the Fourth Proportional to 31,523.56, 43,504.74 and 18,097

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Solution

The fourth proportional to 31,523.56, 43,504.74 and 18,097 is: 24,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.56 : 43,504.74 = 18,097 : x
  2. Step 2: Convert to fraction form
    31,523.56/43,504.74 = 18,097/x
  3. Step 3: Cross multiply
    31,523.56x = 43,504.74 × 18,097
  4. Step 4: Simplify right side
    31,523.56x = 787,305,279.78
  5. Step 5: Solve for x
    x = 787,305,279.78/31,523.56
  6. Step 6: Final answer
    x = 24,975.14

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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.