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Finding the Fourth Proportional to 47,817.42, 65,984.13 and 27,675.78

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Solution

The fourth proportional to 47,817.42, 65,984.13 and 27,675.78 is: 38,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.42 : 65,984.13 = 27,675.78 : x
  2. Step 2: Convert to fraction form
    47,817.42/65,984.13 = 27,675.78/x
  3. Step 3: Cross multiply
    47,817.42x = 65,984.13 × 27,675.78
  4. Step 4: Simplify right side
    47,817.42x = 1,826,162,265.37
  5. Step 5: Solve for x
    x = 1,826,162,265.37/47,817.42
  6. Step 6: Final answer
    x = 38,190.31

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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.