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Finding the Fourth Proportional to 38,540.40, 53,191.80 and 27,926.16

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Solution

The fourth proportional to 38,540.40, 53,191.80 and 27,926.16 is: 38,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.40 : 53,191.80 = 27,926.16 : x
  2. Step 2: Convert to fraction form
    38,540.40/53,191.80 = 27,926.16/x
  3. Step 3: Cross multiply
    38,540.40x = 53,191.80 × 27,926.16
  4. Step 4: Simplify right side
    38,540.40x = 1,485,442,717.49
  5. Step 5: Solve for x
    x = 1,485,442,717.49/38,540.40
  6. Step 6: Final answer
    x = 38,542.48

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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.