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Finding the Fourth Proportional to 27,827.45, 41,741.25 and 8,106.49

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Solution

The fourth proportional to 27,827.45, 41,741.25 and 8,106.49 is: 12,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.45 : 41,741.25 = 8,106.49 : x
  2. Step 2: Convert to fraction form
    27,827.45/41,741.25 = 8,106.49/x
  3. Step 3: Cross multiply
    27,827.45x = 41,741.25 × 8,106.49
  4. Step 4: Simplify right side
    27,827.45x = 338,375,025.71
  5. Step 5: Solve for x
    x = 338,375,025.71/27,827.45
  6. Step 6: Final answer
    x = 12,159.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.