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Finding the Fourth Proportional to 27,801.70, 41,706.60 and 9,082.60

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Solution

The fourth proportional to 27,801.70, 41,706.60 and 9,082.60 is: 13,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.70 : 41,706.60 = 9,082.60 : x
  2. Step 2: Convert to fraction form
    27,801.70/41,706.60 = 9,082.60/x
  3. Step 3: Cross multiply
    27,801.70x = 41,706.60 × 9,082.60
  4. Step 4: Simplify right side
    27,801.70x = 378,804,365.16
  5. Step 5: Solve for x
    x = 378,804,365.16/27,801.70
  6. Step 6: Final answer
    x = 13,625.22

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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.