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Finding the Fourth Proportional to 106,809.90, 160,202.70 and 27,932.10

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Solution

The fourth proportional to 106,809.90, 160,202.70 and 27,932.10 is: 41,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.90 : 160,202.70 = 27,932.10 : x
  2. Step 2: Convert to fraction form
    106,809.90/160,202.70 = 27,932.10/x
  3. Step 3: Cross multiply
    106,809.90x = 160,202.70 × 27,932.10
  4. Step 4: Simplify right side
    106,809.90x = 4,474,797,836.67
  5. Step 5: Solve for x
    x = 4,474,797,836.67/106,809.90
  6. Step 6: Final answer
    x = 41,894.97

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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.