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Finding the Fourth Proportional to 41,987.56, 57,958.02 and 27,845.08

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Solution

The fourth proportional to 41,987.56, 57,958.02 and 27,845.08 is: 38,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987.56 : 57,958.02 = 27,845.08 : x
  2. Step 2: Convert to fraction form
    41,987.56/57,958.02 = 27,845.08/x
  3. Step 3: Cross multiply
    41,987.56x = 57,958.02 × 27,845.08
  4. Step 4: Simplify right side
    41,987.56x = 1,613,845,703.54
  5. Step 5: Solve for x
    x = 1,613,845,703.54/41,987.56
  6. Step 6: Final answer
    x = 38,436.28

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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.