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Finding the Fourth Proportional to 49,147.89, 67,824.02 and 27,927.15

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Solution

The fourth proportional to 49,147.89, 67,824.02 and 27,927.15 is: 38,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.89 : 67,824.02 = 27,927.15 : x
  2. Step 2: Convert to fraction form
    49,147.89/67,824.02 = 27,927.15/x
  3. Step 3: Cross multiply
    49,147.89x = 67,824.02 × 27,927.15
  4. Step 4: Simplify right side
    49,147.89x = 1,894,131,440.51
  5. Step 5: Solve for x
    x = 1,894,131,440.51/49,147.89
  6. Step 6: Final answer
    x = 38,539.43

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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.