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Finding the Fourth Proportional to 30,511.38, 42,105.50 and 17,082.58

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Solution

The fourth proportional to 30,511.38, 42,105.50 and 17,082.58 is: 23,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.38 : 42,105.50 = 17,082.58 : x
  2. Step 2: Convert to fraction form
    30,511.38/42,105.50 = 17,082.58/x
  3. Step 3: Cross multiply
    30,511.38x = 42,105.50 × 17,082.58
  4. Step 4: Simplify right side
    30,511.38x = 719,270,572.19
  5. Step 5: Solve for x
    x = 719,270,572.19/30,511.38
  6. Step 6: Final answer
    x = 23,573.85

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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.