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Finding the Fourth Proportional to 27,802.98, 41,708.54 and 8,078.97

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Solution

The fourth proportional to 27,802.98, 41,708.54 and 8,078.97 is: 12,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.98 : 41,708.54 = 8,078.97 : x
  2. Step 2: Convert to fraction form
    27,802.98/41,708.54 = 8,078.97/x
  3. Step 3: Cross multiply
    27,802.98x = 41,708.54 × 8,078.97
  4. Step 4: Simplify right side
    27,802.98x = 336,962,174.56
  5. Step 5: Solve for x
    x = 336,962,174.56/27,802.98
  6. Step 6: Final answer
    x = 12,119.64

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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.