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Finding the Fourth Proportional to 27,785.56, 41,669.64 and 8,065.48

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Solution

The fourth proportional to 27,785.56, 41,669.64 and 8,065.48 is: 12,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.56 : 41,669.64 = 8,065.48 : x
  2. Step 2: Convert to fraction form
    27,785.56/41,669.64 = 8,065.48/x
  3. Step 3: Cross multiply
    27,785.56x = 41,669.64 × 8,065.48
  4. Step 4: Simplify right side
    27,785.56x = 336,085,648.03
  5. Step 5: Solve for x
    x = 336,085,648.03/27,785.56
  6. Step 6: Final answer
    x = 12,095.69

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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.