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Finding the Fourth Proportional to 101,855.48, 152,785.17 and 35,297.78

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Solution

The fourth proportional to 101,855.48, 152,785.17 and 35,297.78 is: 52,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.48 : 152,785.17 = 35,297.78 : x
  2. Step 2: Convert to fraction form
    101,855.48/152,785.17 = 35,297.78/x
  3. Step 3: Cross multiply
    101,855.48x = 152,785.17 × 35,297.78
  4. Step 4: Simplify right side
    101,855.48x = 5,392,976,554.00
  5. Step 5: Solve for x
    x = 5,392,976,554.00/101,855.48
  6. Step 6: Final answer
    x = 52,947.34

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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.