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Finding the Fourth Proportional to 102,857.80, 154,286.70 and 32,744.20

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Solution

The fourth proportional to 102,857.80, 154,286.70 and 32,744.20 is: 49,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.80 : 154,286.70 = 32,744.20 : x
  2. Step 2: Convert to fraction form
    102,857.80/154,286.70 = 32,744.20/x
  3. Step 3: Cross multiply
    102,857.80x = 154,286.70 × 32,744.20
  4. Step 4: Simplify right side
    102,857.80x = 5,051,994,562.14
  5. Step 5: Solve for x
    x = 5,051,994,562.14/102,857.80
  6. Step 6: Final answer
    x = 49,116.30

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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.