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Finding the Fourth Proportional to 27,799.92, 41,702.18 and 8,078.48

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Solution

The fourth proportional to 27,799.92, 41,702.18 and 8,078.48 is: 12,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799.92 : 41,702.18 = 8,078.48 : x
  2. Step 2: Convert to fraction form
    27,799.92/41,702.18 = 8,078.48/x
  3. Step 3: Cross multiply
    27,799.92x = 41,702.18 × 8,078.48
  4. Step 4: Simplify right side
    27,799.92x = 336,890,227.09
  5. Step 5: Solve for x
    x = 336,890,227.09/27,799.92
  6. Step 6: Final answer
    x = 12,118.39

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1.5x scale

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.