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Finding the Fourth Proportional to 49,359.82, 68,116.47 and 27,849.54

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Solution

The fourth proportional to 49,359.82, 68,116.47 and 27,849.54 is: 38,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359.82 : 68,116.47 = 27,849.54 : x
  2. Step 2: Convert to fraction form
    49,359.82/68,116.47 = 27,849.54/x
  3. Step 3: Cross multiply
    49,359.82x = 68,116.47 × 27,849.54
  4. Step 4: Simplify right side
    49,359.82x = 1,897,012,355.92
  5. Step 5: Solve for x
    x = 1,897,012,355.92/49,359.82
  6. Step 6: Final answer
    x = 38,432.32

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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.