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Finding the Fourth Proportional to 27,852.25, 41,761.68 and 8,868.68

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Solution

The fourth proportional to 27,852.25, 41,761.68 and 8,868.68 is: 13,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.25 : 41,761.68 = 8,868.68 : x
  2. Step 2: Convert to fraction form
    27,852.25/41,761.68 = 8,868.68/x
  3. Step 3: Cross multiply
    27,852.25x = 41,761.68 × 8,868.68
  4. Step 4: Simplify right side
    27,852.25x = 370,370,976.18
  5. Step 5: Solve for x
    x = 370,370,976.18/27,852.25
  6. Step 6: Final answer
    x = 13,297.70

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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.