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Finding the Fourth Proportional to 48,187.75, 66,506.09 and 27,765.84

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Solution

The fourth proportional to 48,187.75, 66,506.09 and 27,765.84 is: 38,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,187.75 : 66,506.09 = 27,765.84 : x
  2. Step 2: Convert to fraction form
    48,187.75/66,506.09 = 27,765.84/x
  3. Step 3: Cross multiply
    48,187.75x = 66,506.09 × 27,765.84
  4. Step 4: Simplify right side
    48,187.75x = 1,846,597,453.97
  5. Step 5: Solve for x
    x = 1,846,597,453.97/48,187.75
  6. Step 6: Final answer
    x = 38,320.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.