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Finding the Fourth Proportional to 42,067.50, 58,053.87 and 27,189.42

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Solution

The fourth proportional to 42,067.50, 58,053.87 and 27,189.42 is: 37,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067.50 : 58,053.87 = 27,189.42 : x
  2. Step 2: Convert to fraction form
    42,067.50/58,053.87 = 27,189.42/x
  3. Step 3: Cross multiply
    42,067.50x = 58,053.87 × 27,189.42
  4. Step 4: Simplify right side
    42,067.50x = 1,578,451,054.06
  5. Step 5: Solve for x
    x = 1,578,451,054.06/42,067.50
  6. Step 6: Final answer
    x = 37,521.86

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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.