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Finding the Fourth Proportional to 30,682.68, 46,082.37 and 19,077

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Solution

The fourth proportional to 30,682.68, 46,082.37 and 19,077 is: 28,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.68 : 46,082.37 = 19,077 : x
  2. Step 2: Convert to fraction form
    30,682.68/46,082.37 = 19,077/x
  3. Step 3: Cross multiply
    30,682.68x = 46,082.37 × 19,077
  4. Step 4: Simplify right side
    30,682.68x = 879,113,372.49
  5. Step 5: Solve for x
    x = 879,113,372.49/30,682.68
  6. Step 6: Final answer
    x = 28,651.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.