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Finding the Fourth Proportional to 27,402.48, 41,105.52 and 7,681.80

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Solution

The fourth proportional to 27,402.48, 41,105.52 and 7,681.80 is: 11,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.48 : 41,105.52 = 7,681.80 : x
  2. Step 2: Convert to fraction form
    27,402.48/41,105.52 = 7,681.80/x
  3. Step 3: Cross multiply
    27,402.48x = 41,105.52 × 7,681.80
  4. Step 4: Simplify right side
    27,402.48x = 315,764,383.54
  5. Step 5: Solve for x
    x = 315,764,383.54/27,402.48
  6. Step 6: Final answer
    x = 11,523.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.