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Finding the Fourth Proportional to 27,797.75, 41,703.27 and 9,077.83

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Solution

The fourth proportional to 27,797.75, 41,703.27 and 9,077.83 is: 13,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.75 : 41,703.27 = 9,077.83 : x
  2. Step 2: Convert to fraction form
    27,797.75/41,703.27 = 9,077.83/x
  3. Step 3: Cross multiply
    27,797.75x = 41,703.27 × 9,077.83
  4. Step 4: Simplify right side
    27,797.75x = 378,575,091.25
  5. Step 5: Solve for x
    x = 378,575,091.25/27,797.75
  6. Step 6: Final answer
    x = 13,618.91

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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.