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Finding the Fourth Proportional to 30,982.38, 42,755.96 and 16,835.23

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Solution

The fourth proportional to 30,982.38, 42,755.96 and 16,835.23 is: 23,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.38 : 42,755.96 = 16,835.23 : x
  2. Step 2: Convert to fraction form
    30,982.38/42,755.96 = 16,835.23/x
  3. Step 3: Cross multiply
    30,982.38x = 42,755.96 × 16,835.23
  4. Step 4: Simplify right side
    30,982.38x = 719,806,164.60
  5. Step 5: Solve for x
    x = 719,806,164.60/30,982.38
  6. Step 6: Final answer
    x = 23,232.76

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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.