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Finding the Fourth Proportional to 31,548.69, 43,535.88 and 17,401.23

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Solution

The fourth proportional to 31,548.69, 43,535.88 and 17,401.23 is: 24,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.69 : 43,535.88 = 17,401.23 : x
  2. Step 2: Convert to fraction form
    31,548.69/43,535.88 = 17,401.23/x
  3. Step 3: Cross multiply
    31,548.69x = 43,535.88 × 17,401.23
  4. Step 4: Simplify right side
    31,548.69x = 757,577,861.13
  5. Step 5: Solve for x
    x = 757,577,861.13/31,548.69
  6. Step 6: Final answer
    x = 24,012.97

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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.