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Finding the Fourth Proportional to 31,129.31, 42,958.45 and 16,982.16

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Solution

The fourth proportional to 31,129.31, 42,958.45 and 16,982.16 is: 23,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.31 : 42,958.45 = 16,982.16 : x
  2. Step 2: Convert to fraction form
    31,129.31/42,958.45 = 16,982.16/x
  3. Step 3: Cross multiply
    31,129.31x = 42,958.45 × 16,982.16
  4. Step 4: Simplify right side
    31,129.31x = 729,527,131.39
  5. Step 5: Solve for x
    x = 729,527,131.39/31,129.31
  6. Step 6: Final answer
    x = 23,435.38

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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.