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Finding the Fourth Proportional to 42,760.85, 58,995.50 and 27,672.57

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Solution

The fourth proportional to 42,760.85, 58,995.50 and 27,672.57 is: 38,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760.85 : 58,995.50 = 27,672.57 : x
  2. Step 2: Convert to fraction form
    42,760.85/58,995.50 = 27,672.57/x
  3. Step 3: Cross multiply
    42,760.85x = 58,995.50 × 27,672.57
  4. Step 4: Simplify right side
    42,760.85x = 1,632,556,965.07
  5. Step 5: Solve for x
    x = 1,632,556,965.07/42,760.85
  6. Step 6: Final answer
    x = 38,178.78

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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.