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Finding the Fourth Proportional to 106,555.34, 159,833.10 and 27,662.96

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Solution

The fourth proportional to 106,555.34, 159,833.10 and 27,662.96 is: 41,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,555.34 : 159,833.10 = 27,662.96 : x
  2. Step 2: Convert to fraction form
    106,555.34/159,833.10 = 27,662.96/x
  3. Step 3: Cross multiply
    106,555.34x = 159,833.10 × 27,662.96
  4. Step 4: Simplify right side
    106,555.34x = 4,421,456,651.98
  5. Step 5: Solve for x
    x = 4,421,456,651.98/106,555.34
  6. Step 6: Final answer
    x = 41,494.46

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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.