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Finding the Fourth Proportional to 31,697.33, 47,580.62 and 23,351.49

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Solution

The fourth proportional to 31,697.33, 47,580.62 and 23,351.49 is: 35,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.33 : 47,580.62 = 23,351.49 : x
  2. Step 2: Convert to fraction form
    31,697.33/47,580.62 = 23,351.49/x
  3. Step 3: Cross multiply
    31,697.33x = 47,580.62 × 23,351.49
  4. Step 4: Simplify right side
    31,697.33x = 1,111,078,255.37
  5. Step 5: Solve for x
    x = 1,111,078,255.37/31,697.33
  6. Step 6: Final answer
    x = 35,052.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.