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Finding the Fourth Proportional to 47,687.81, 65,821.12 and 27,556.38

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Solution

The fourth proportional to 47,687.81, 65,821.12 and 27,556.38 is: 38,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.81 : 65,821.12 = 27,556.38 : x
  2. Step 2: Convert to fraction form
    47,687.81/65,821.12 = 27,556.38/x
  3. Step 3: Cross multiply
    47,687.81x = 65,821.12 × 27,556.38
  4. Step 4: Simplify right side
    47,687.81x = 1,813,791,725.85
  5. Step 5: Solve for x
    x = 1,813,791,725.85/47,687.81
  6. Step 6: Final answer
    x = 38,034.71

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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.