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Finding the Fourth Proportional to 31,705.57, 43,754.99 and 17,558.40

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Solution

The fourth proportional to 31,705.57, 43,754.99 and 17,558.40 is: 24,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.57 : 43,754.99 = 17,558.40 : x
  2. Step 2: Convert to fraction form
    31,705.57/43,754.99 = 17,558.40/x
  3. Step 3: Cross multiply
    31,705.57x = 43,754.99 × 17,558.40
  4. Step 4: Simplify right side
    31,705.57x = 768,267,616.42
  5. Step 5: Solve for x
    x = 768,267,616.42/31,705.57
  6. Step 6: Final answer
    x = 24,231.31

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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.