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Finding the Fourth Proportional to 106,692.66, 160,048.14 and 27,806.76

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Solution

The fourth proportional to 106,692.66, 160,048.14 and 27,806.76 is: 41,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.66 : 160,048.14 = 27,806.76 : x
  2. Step 2: Convert to fraction form
    106,692.66/160,048.14 = 27,806.76/x
  3. Step 3: Cross multiply
    106,692.66x = 160,048.14 × 27,806.76
  4. Step 4: Simplify right side
    106,692.66x = 4,450,420,217.43
  5. Step 5: Solve for x
    x = 4,450,420,217.43/106,692.66
  6. Step 6: Final answer
    x = 41,712.52

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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.