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Finding the Fourth Proportional to 31,297.08, 43,191 and 17,149.92

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Solution

The fourth proportional to 31,297.08, 43,191 and 17,149.92 is: 23,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.08 : 43,191 = 17,149.92 : x
  2. Step 2: Convert to fraction form
    31,297.08/43,191 = 17,149.92/x
  3. Step 3: Cross multiply
    31,297.08x = 43,191 × 17,149.92
  4. Step 4: Simplify right side
    31,297.08x = 740,722,194.72
  5. Step 5: Solve for x
    x = 740,722,194.72/31,297.08
  6. Step 6: Final answer
    x = 23,667.45

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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.