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Finding the Fourth Proportional to 42,039.94, 57,982.29 and 26,934

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Solution

The fourth proportional to 42,039.94, 57,982.29 and 26,934 is: 37,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,039.94 : 57,982.29 = 26,934 : x
  2. Step 2: Convert to fraction form
    42,039.94/57,982.29 = 26,934/x
  3. Step 3: Cross multiply
    42,039.94x = 57,982.29 × 26,934
  4. Step 4: Simplify right side
    42,039.94x = 1,561,694,998.86
  5. Step 5: Solve for x
    x = 1,561,694,998.86/42,039.94
  6. Step 6: Final answer
    x = 37,147.89

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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.