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Finding the Fourth Proportional to 30,826.38, 46,234.26 and 8,634.49

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Solution

The fourth proportional to 30,826.38, 46,234.26 and 8,634.49 is: 12,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.38 : 46,234.26 = 8,634.49 : x
  2. Step 2: Convert to fraction form
    30,826.38/46,234.26 = 8,634.49/x
  3. Step 3: Cross multiply
    30,826.38x = 46,234.26 × 8,634.49
  4. Step 4: Simplify right side
    30,826.38x = 399,209,107.66
  5. Step 5: Solve for x
    x = 399,209,107.66/30,826.38
  6. Step 6: Final answer
    x = 12,950.24

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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.