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Finding the Fourth Proportional to 31,537.80, 43,520.16 and 17,390.64

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Solution

The fourth proportional to 31,537.80, 43,520.16 and 17,390.64 is: 23,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537.80 : 43,520.16 = 17,390.64 : x
  2. Step 2: Convert to fraction form
    31,537.80/43,520.16 = 17,390.64/x
  3. Step 3: Cross multiply
    31,537.80x = 43,520.16 × 17,390.64
  4. Step 4: Simplify right side
    31,537.80x = 756,843,435.30
  5. Step 5: Solve for x
    x = 756,843,435.30/31,537.80
  6. Step 6: Final answer
    x = 23,997.98

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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.