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Finding the Fourth Proportional to 38,389, 52,994.58 and 27,067.72

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Solution

The fourth proportional to 38,389, 52,994.58 and 27,067.72 is: 37,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,389 : 52,994.58 = 27,067.72 : x
  2. Step 2: Convert to fraction form
    38,389/52,994.58 = 27,067.72/x
  3. Step 3: Cross multiply
    38,389x = 52,994.58 × 27,067.72
  4. Step 4: Simplify right side
    38,389x = 1,434,442,452.96
  5. Step 5: Solve for x
    x = 1,434,442,452.96/38,389
  6. Step 6: Final answer
    x = 37,365.98

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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.