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Finding the Fourth Proportional to 31,540, 43,525.50 and 17,393.32

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Solution

The fourth proportional to 31,540, 43,525.50 and 17,393.32 is: 24,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,540 : 43,525.50 = 17,393.32 : x
  2. Step 2: Convert to fraction form
    31,540/43,525.50 = 17,393.32/x
  3. Step 3: Cross multiply
    31,540x = 43,525.50 × 17,393.32
  4. Step 4: Simplify right side
    31,540x = 757,052,949.66
  5. Step 5: Solve for x
    x = 757,052,949.66/31,540
  6. Step 6: Final answer
    x = 24,002.95

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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.