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Finding the Fourth Proportional to 31,690.70, 43,732.89 and 17,543.18

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Solution

The fourth proportional to 31,690.70, 43,732.89 and 17,543.18 is: 24,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.70 : 43,732.89 = 17,543.18 : x
  2. Step 2: Convert to fraction form
    31,690.70/43,732.89 = 17,543.18/x
  3. Step 3: Cross multiply
    31,690.70x = 43,732.89 × 17,543.18
  4. Step 4: Simplify right side
    31,690.70x = 767,213,961.19
  5. Step 5: Solve for x
    x = 767,213,961.19/31,690.70
  6. Step 6: Final answer
    x = 24,209.44

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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.