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Finding the Fourth Proportional to 30,819.29, 46,231.61 and 8,632.94

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Solution

The fourth proportional to 30,819.29, 46,231.61 and 8,632.94 is: 12,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.29 : 46,231.61 = 8,632.94 : x
  2. Step 2: Convert to fraction form
    30,819.29/46,231.61 = 8,632.94/x
  3. Step 3: Cross multiply
    30,819.29x = 46,231.61 × 8,632.94
  4. Step 4: Simplify right side
    30,819.29x = 399,114,440.91
  5. Step 5: Solve for x
    x = 399,114,440.91/30,819.29
  6. Step 6: Final answer
    x = 12,950.15

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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.