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Finding the Fourth Proportional to 42,035.44, 57,990.50 and 27,676.74

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Solution

The fourth proportional to 42,035.44, 57,990.50 and 27,676.74 is: 38,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,035.44 : 57,990.50 = 27,676.74 : x
  2. Step 2: Convert to fraction form
    42,035.44/57,990.50 = 27,676.74/x
  3. Step 3: Cross multiply
    42,035.44x = 57,990.50 × 27,676.74
  4. Step 4: Simplify right side
    42,035.44x = 1,604,987,990.97
  5. Step 5: Solve for x
    x = 1,604,987,990.97/42,035.44
  6. Step 6: Final answer
    x = 38,181.78

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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.