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Finding the Fourth Proportional to 27,796.46, 38,359.05 and 15,049.58

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Solution

The fourth proportional to 27,796.46, 38,359.05 and 15,049.58 is: 20,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.46 : 38,359.05 = 15,049.58 : x
  2. Step 2: Convert to fraction form
    27,796.46/38,359.05 = 15,049.58/x
  3. Step 3: Cross multiply
    27,796.46x = 38,359.05 × 15,049.58
  4. Step 4: Simplify right side
    27,796.46x = 577,287,399.90
  5. Step 5: Solve for x
    x = 577,287,399.90/27,796.46
  6. Step 6: Final answer
    x = 20,768.38

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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.