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Finding the Fourth Proportional to 31,675.92, 43,677 and 23,692.56

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Solution

The fourth proportional to 31,675.92, 43,677 and 23,692.56 is: 32,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.92 : 43,677 = 23,692.56 : x
  2. Step 2: Convert to fraction form
    31,675.92/43,677 = 23,692.56/x
  3. Step 3: Cross multiply
    31,675.92x = 43,677 × 23,692.56
  4. Step 4: Simplify right side
    31,675.92x = 1,034,819,943.12
  5. Step 5: Solve for x
    x = 1,034,819,943.12/31,675.92
  6. Step 6: Final answer
    x = 32,668.98

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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.