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Finding the Fourth Proportional to 38,544.96, 53,197.92 and 27,982.56

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Solution

The fourth proportional to 38,544.96, 53,197.92 and 27,982.56 is: 38,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.96 : 53,197.92 = 27,982.56 : x
  2. Step 2: Convert to fraction form
    38,544.96/53,197.92 = 27,982.56/x
  3. Step 3: Cross multiply
    38,544.96x = 53,197.92 × 27,982.56
  4. Step 4: Simplify right side
    38,544.96x = 1,488,613,988.28
  5. Step 5: Solve for x
    x = 1,488,613,988.28/38,544.96
  6. Step 6: Final answer
    x = 38,620.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.