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Finding the Fourth Proportional to 27,838.94, 41,750.19 and 8,111.30

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Solution

The fourth proportional to 27,838.94, 41,750.19 and 8,111.30 is: 12,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.94 : 41,750.19 = 8,111.30 : x
  2. Step 2: Convert to fraction form
    27,838.94/41,750.19 = 8,111.30/x
  3. Step 3: Cross multiply
    27,838.94x = 41,750.19 × 8,111.30
  4. Step 4: Simplify right side
    27,838.94x = 338,648,107.40
  5. Step 5: Solve for x
    x = 338,648,107.40/27,838.94
  6. Step 6: Final answer
    x = 12,164.55

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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.