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Finding the Fourth Proportional to 101,676, 152,524.56 and 27,804

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Solution

The fourth proportional to 101,676, 152,524.56 and 27,804 is: 41,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,676 : 152,524.56 = 27,804 : x
  2. Step 2: Convert to fraction form
    101,676/152,524.56 = 27,804/x
  3. Step 3: Cross multiply
    101,676x = 152,524.56 × 27,804
  4. Step 4: Simplify right side
    101,676x = 4,240,792,866.24
  5. Step 5: Solve for x
    x = 4,240,792,866.24/101,676
  6. Step 6: Final answer
    x = 41,708.89

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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.