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Finding the Fourth Proportional to 27,067.80, 40,569.30 and 13,913.40

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Solution

The fourth proportional to 27,067.80, 40,569.30 and 13,913.40 is: 20,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.80 : 40,569.30 = 13,913.40 : x
  2. Step 2: Convert to fraction form
    27,067.80/40,569.30 = 13,913.40/x
  3. Step 3: Cross multiply
    27,067.80x = 40,569.30 × 13,913.40
  4. Step 4: Simplify right side
    27,067.80x = 564,456,898.62
  5. Step 5: Solve for x
    x = 564,456,898.62/27,067.80
  6. Step 6: Final answer
    x = 20,853.45

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Why These Related Problems?

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