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Finding the Fourth Proportional to 31,667.72, 43,702.74 and 17,520.32

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Solution

The fourth proportional to 31,667.72, 43,702.74 and 17,520.32 is: 24,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.72 : 43,702.74 = 17,520.32 : x
  2. Step 2: Convert to fraction form
    31,667.72/43,702.74 = 17,520.32/x
  3. Step 3: Cross multiply
    31,667.72x = 43,702.74 × 17,520.32
  4. Step 4: Simplify right side
    31,667.72x = 765,685,989.68
  5. Step 5: Solve for x
    x = 765,685,989.68/31,667.72
  6. Step 6: Final answer
    x = 24,178.75

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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.