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Finding the Fourth Proportional to 73,923, 110,885.46 and 24,675

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Solution

The fourth proportional to 73,923, 110,885.46 and 24,675 is: 37,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923 : 110,885.46 = 24,675 : x
  2. Step 2: Convert to fraction form
    73,923/110,885.46 = 24,675/x
  3. Step 3: Cross multiply
    73,923x = 110,885.46 × 24,675
  4. Step 4: Simplify right side
    73,923x = 2,736,098,725.50
  5. Step 5: Solve for x
    x = 2,736,098,725.50/73,923
  6. Step 6: Final answer
    x = 37,012.82

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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.