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Finding the Fourth Proportional to 27,850.70, 38,220.86 and 27,653.88

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Solution

The fourth proportional to 27,850.70, 38,220.86 and 27,653.88 is: 37,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.70 : 38,220.86 = 27,653.88 : x
  2. Step 2: Convert to fraction form
    27,850.70/38,220.86 = 27,653.88/x
  3. Step 3: Cross multiply
    27,850.70x = 38,220.86 × 27,653.88
  4. Step 4: Simplify right side
    27,850.70x = 1,056,955,075.94
  5. Step 5: Solve for x
    x = 1,056,955,075.94/27,850.70
  6. Step 6: Final answer
    x = 37,950.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.