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Finding the Fourth Proportional to 31,317, 43,221.12 and 17,890.20

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Solution

The fourth proportional to 31,317, 43,221.12 and 17,890.20 is: 24,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317 : 43,221.12 = 17,890.20 : x
  2. Step 2: Convert to fraction form
    31,317/43,221.12 = 17,890.20/x
  3. Step 3: Cross multiply
    31,317x = 43,221.12 × 17,890.20
  4. Step 4: Simplify right side
    31,317x = 773,234,481.02
  5. Step 5: Solve for x
    x = 773,234,481.02/31,317
  6. Step 6: Final answer
    x = 24,690.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.