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Finding the Fourth Proportional to 27,806.38, 41,604.92 and 19,502.60

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Solution

The fourth proportional to 27,806.38, 41,604.92 and 19,502.60 is: 29,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.38 : 41,604.92 = 19,502.60 : x
  2. Step 2: Convert to fraction form
    27,806.38/41,604.92 = 19,502.60/x
  3. Step 3: Cross multiply
    27,806.38x = 41,604.92 × 19,502.60
  4. Step 4: Simplify right side
    27,806.38x = 811,404,112.79
  5. Step 5: Solve for x
    x = 811,404,112.79/27,806.38
  6. Step 6: Final answer
    x = 29,180.50

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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.