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Finding the Fourth Proportional to 42,757.68, 58,991.19 and 27,669.42

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Solution

The fourth proportional to 42,757.68, 58,991.19 and 27,669.42 is: 38,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,757.68 : 58,991.19 = 27,669.42 : x
  2. Step 2: Convert to fraction form
    42,757.68/58,991.19 = 27,669.42/x
  3. Step 3: Cross multiply
    42,757.68x = 58,991.19 × 27,669.42
  4. Step 4: Simplify right side
    42,757.68x = 1,632,252,012.41
  5. Step 5: Solve for x
    x = 1,632,252,012.41/42,757.68
  6. Step 6: Final answer
    x = 38,174.48

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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.