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Finding the Fourth Proportional to 42,182.50, 58,212.81 and 27,304.42

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Solution

The fourth proportional to 42,182.50, 58,212.81 and 27,304.42 is: 37,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,182.50 : 58,212.81 = 27,304.42 : x
  2. Step 2: Convert to fraction form
    42,182.50/58,212.81 = 27,304.42/x
  3. Step 3: Cross multiply
    42,182.50x = 58,212.81 × 27,304.42
  4. Step 4: Simplify right side
    42,182.50x = 1,589,467,013.62
  5. Step 5: Solve for x
    x = 1,589,467,013.62/42,182.50
  6. Step 6: Final answer
    x = 37,680.72

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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.