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Finding the Fourth Proportional to 47,311.38, 65,292.93 and 27,439.38

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Solution

The fourth proportional to 47,311.38, 65,292.93 and 27,439.38 is: 37,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.38 : 65,292.93 = 27,439.38 : x
  2. Step 2: Convert to fraction form
    47,311.38/65,292.93 = 27,439.38/x
  3. Step 3: Cross multiply
    47,311.38x = 65,292.93 × 27,439.38
  4. Step 4: Simplify right side
    47,311.38x = 1,791,597,517.58
  5. Step 5: Solve for x
    x = 1,791,597,517.58/47,311.38
  6. Step 6: Final answer
    x = 37,868.22

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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.