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Finding the Fourth Proportional to 27,162.52, 40,743.81 and 7,441.25

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Solution

The fourth proportional to 27,162.52, 40,743.81 and 7,441.25 is: 11,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.52 : 40,743.81 = 7,441.25 : x
  2. Step 2: Convert to fraction form
    27,162.52/40,743.81 = 7,441.25/x
  3. Step 3: Cross multiply
    27,162.52x = 40,743.81 × 7,441.25
  4. Step 4: Simplify right side
    27,162.52x = 303,184,876.16
  5. Step 5: Solve for x
    x = 303,184,876.16/27,162.52
  6. Step 6: Final answer
    x = 11,161.88

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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.