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Finding the Fourth Proportional to 30,892.29, 46,321.86 and 9,826.62

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Solution

The fourth proportional to 30,892.29, 46,321.86 and 9,826.62 is: 14,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.29 : 46,321.86 = 9,826.62 : x
  2. Step 2: Convert to fraction form
    30,892.29/46,321.86 = 9,826.62/x
  3. Step 3: Cross multiply
    30,892.29x = 46,321.86 × 9,826.62
  4. Step 4: Simplify right side
    30,892.29x = 455,187,315.91
  5. Step 5: Solve for x
    x = 455,187,315.91/30,892.29
  6. Step 6: Final answer
    x = 14,734.66

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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.