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Finding the Fourth Proportional to 27,793, 41,689.50 and 8,070.04

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Solution

The fourth proportional to 27,793, 41,689.50 and 8,070.04 is: 12,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793 : 41,689.50 = 8,070.04 : x
  2. Step 2: Convert to fraction form
    27,793/41,689.50 = 8,070.04/x
  3. Step 3: Cross multiply
    27,793x = 41,689.50 × 8,070.04
  4. Step 4: Simplify right side
    27,793x = 336,435,932.58
  5. Step 5: Solve for x
    x = 336,435,932.58/27,793
  6. Step 6: Final answer
    x = 12,105.06

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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.