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Finding the Fourth Proportional to 106,776.77, 160,166.70 and 27,891

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Solution

The fourth proportional to 106,776.77, 160,166.70 and 27,891 is: 41,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.77 : 160,166.70 = 27,891 : x
  2. Step 2: Convert to fraction form
    106,776.77/160,166.70 = 27,891/x
  3. Step 3: Cross multiply
    106,776.77x = 160,166.70 × 27,891
  4. Step 4: Simplify right side
    106,776.77x = 4,467,209,429.70
  5. Step 5: Solve for x
    x = 4,467,209,429.70/106,776.77
  6. Step 6: Final answer
    x = 41,836.91

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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.