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Finding the Fourth Proportional to 37,005.36, 51,067.80 and 20,238

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Solution

The fourth proportional to 37,005.36, 51,067.80 and 20,238 is: 27,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005.36 : 51,067.80 = 20,238 : x
  2. Step 2: Convert to fraction form
    37,005.36/51,067.80 = 20,238/x
  3. Step 3: Cross multiply
    37,005.36x = 51,067.80 × 20,238
  4. Step 4: Simplify right side
    37,005.36x = 1,033,510,136.40
  5. Step 5: Solve for x
    x = 1,033,510,136.40/37,005.36
  6. Step 6: Final answer
    x = 27,928.66

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