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Finding the Fourth Proportional to 27,822.77, 41,741 and 8,101.51

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Solution

The fourth proportional to 27,822.77, 41,741 and 8,101.51 is: 12,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.77 : 41,741 = 8,101.51 : x
  2. Step 2: Convert to fraction form
    27,822.77/41,741 = 8,101.51/x
  3. Step 3: Cross multiply
    27,822.77x = 41,741 × 8,101.51
  4. Step 4: Simplify right side
    27,822.77x = 338,165,128.91
  5. Step 5: Solve for x
    x = 338,165,128.91/27,822.77
  6. Step 6: Final answer
    x = 12,154.26

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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.