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Finding the Fourth Proportional to 27,412.13, 41,085.08 and 13,351.08

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Solution

The fourth proportional to 27,412.13, 41,085.08 and 13,351.08 is: 20,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.13 : 41,085.08 = 13,351.08 : x
  2. Step 2: Convert to fraction form
    27,412.13/41,085.08 = 13,351.08/x
  3. Step 3: Cross multiply
    27,412.13x = 41,085.08 × 13,351.08
  4. Step 4: Simplify right side
    27,412.13x = 548,530,189.89
  5. Step 5: Solve for x
    x = 548,530,189.89/27,412.13
  6. Step 6: Final answer
    x = 20,010.49

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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.