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Finding the Fourth Proportional to 47,869.88, 71,741.46 and 36,734

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Solution

The fourth proportional to 47,869.88, 71,741.46 and 36,734 is: 55,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869.88 : 71,741.46 = 36,734 : x
  2. Step 2: Convert to fraction form
    47,869.88/71,741.46 = 36,734/x
  3. Step 3: Cross multiply
    47,869.88x = 71,741.46 × 36,734
  4. Step 4: Simplify right side
    47,869.88x = 2,635,350,791.64
  5. Step 5: Solve for x
    x = 2,635,350,791.64/47,869.88
  6. Step 6: Final answer
    x = 55,052.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.