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Finding the Fourth Proportional to 27,705.87, 41,577 and 10,175.85

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Solution

The fourth proportional to 27,705.87, 41,577 and 10,175.85 is: 15,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.87 : 41,577 = 10,175.85 : x
  2. Step 2: Convert to fraction form
    27,705.87/41,577 = 10,175.85/x
  3. Step 3: Cross multiply
    27,705.87x = 41,577 × 10,175.85
  4. Step 4: Simplify right side
    27,705.87x = 423,081,315.45
  5. Step 5: Solve for x
    x = 423,081,315.45/27,705.87
  6. Step 6: Final answer
    x = 15,270.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.