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Finding the Fourth Proportional to 101,765.54, 152,662.19 and 35,187.78

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Solution

The fourth proportional to 101,765.54, 152,662.19 and 35,187.78 is: 52,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,765.54 : 152,662.19 = 35,187.78 : x
  2. Step 2: Convert to fraction form
    101,765.54/152,662.19 = 35,187.78/x
  3. Step 3: Cross multiply
    101,765.54x = 152,662.19 × 35,187.78
  4. Step 4: Simplify right side
    101,765.54x = 5,371,843,380.10
  5. Step 5: Solve for x
    x = 5,371,843,380.10/101,765.54
  6. Step 6: Final answer
    x = 52,786.47

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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.