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Finding the Fourth Proportional to 30,863.14, 46,294.50 and 8,676.38

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Solution

The fourth proportional to 30,863.14, 46,294.50 and 8,676.38 is: 13,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.14 : 46,294.50 = 8,676.38 : x
  2. Step 2: Convert to fraction form
    30,863.14/46,294.50 = 8,676.38/x
  3. Step 3: Cross multiply
    30,863.14x = 46,294.50 × 8,676.38
  4. Step 4: Simplify right side
    30,863.14x = 401,668,673.91
  5. Step 5: Solve for x
    x = 401,668,673.91/30,863.14
  6. Step 6: Final answer
    x = 13,014.51

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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.