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Finding the Fourth Proportional to 31,667.94, 43,702.06 and 17,521.08

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Solution

The fourth proportional to 31,667.94, 43,702.06 and 17,521.08 is: 24,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.94 : 43,702.06 = 17,521.08 : x
  2. Step 2: Convert to fraction form
    31,667.94/43,702.06 = 17,521.08/x
  3. Step 3: Cross multiply
    31,667.94x = 43,702.06 × 17,521.08
  4. Step 4: Simplify right side
    31,667.94x = 765,707,289.42
  5. Step 5: Solve for x
    x = 765,707,289.42/31,667.94
  6. Step 6: Final answer
    x = 24,179.26

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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.