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Finding the Fourth Proportional to 30,732.44, 46,101.94 and 8,545.88

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Solution

The fourth proportional to 30,732.44, 46,101.94 and 8,545.88 is: 12,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.44 : 46,101.94 = 8,545.88 : x
  2. Step 2: Convert to fraction form
    30,732.44/46,101.94 = 8,545.88/x
  3. Step 3: Cross multiply
    30,732.44x = 46,101.94 × 8,545.88
  4. Step 4: Simplify right side
    30,732.44x = 393,981,647.01
  5. Step 5: Solve for x
    x = 393,981,647.01/30,732.44
  6. Step 6: Final answer
    x = 12,819.73

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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.