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Finding the Fourth Proportional to 31,874.45, 43,985.57 and 17,728.20

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Solution

The fourth proportional to 31,874.45, 43,985.57 and 17,728.20 is: 24,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.45 : 43,985.57 = 17,728.20 : x
  2. Step 2: Convert to fraction form
    31,874.45/43,985.57 = 17,728.20/x
  3. Step 3: Cross multiply
    31,874.45x = 43,985.57 × 17,728.20
  4. Step 4: Simplify right side
    31,874.45x = 779,784,893.43
  5. Step 5: Solve for x
    x = 779,784,893.43/31,874.45
  6. Step 6: Final answer
    x = 24,464.27

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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.