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Finding the Fourth Proportional to 30,697.56, 42,366.38 and 17,269.38

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Solution

The fourth proportional to 30,697.56, 42,366.38 and 17,269.38 is: 23,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.56 : 42,366.38 = 17,269.38 : x
  2. Step 2: Convert to fraction form
    30,697.56/42,366.38 = 17,269.38/x
  3. Step 3: Cross multiply
    30,697.56x = 42,366.38 × 17,269.38
  4. Step 4: Simplify right side
    30,697.56x = 731,641,115.44
  5. Step 5: Solve for x
    x = 731,641,115.44/30,697.56
  6. Step 6: Final answer
    x = 23,833.85

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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.