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Finding the Fourth Proportional to 27,774.36, 41,661.72 and 8,053.20

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Solution

The fourth proportional to 27,774.36, 41,661.72 and 8,053.20 is: 12,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.36 : 41,661.72 = 8,053.20 : x
  2. Step 2: Convert to fraction form
    27,774.36/41,661.72 = 8,053.20/x
  3. Step 3: Cross multiply
    27,774.36x = 41,661.72 × 8,053.20
  4. Step 4: Simplify right side
    27,774.36x = 335,510,163.50
  5. Step 5: Solve for x
    x = 335,510,163.50/27,774.36
  6. Step 6: Final answer
    x = 12,079.85

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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.