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Finding the Fourth Proportional to 31,692.88, 43,736.52 and 17,546

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Solution

The fourth proportional to 31,692.88, 43,736.52 and 17,546 is: 24,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.88 : 43,736.52 = 17,546 : x
  2. Step 2: Convert to fraction form
    31,692.88/43,736.52 = 17,546/x
  3. Step 3: Cross multiply
    31,692.88x = 43,736.52 × 17,546
  4. Step 4: Simplify right side
    31,692.88x = 767,400,979.92
  5. Step 5: Solve for x
    x = 767,400,979.92/31,692.88
  6. Step 6: Final answer
    x = 24,213.67

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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.