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Finding the Fourth Proportional to 72,923, 109,384.56 and 23,675

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Solution

The fourth proportional to 72,923, 109,384.56 and 23,675 is: 35,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,923 : 109,384.56 = 23,675 : x
  2. Step 2: Convert to fraction form
    72,923/109,384.56 = 23,675/x
  3. Step 3: Cross multiply
    72,923x = 109,384.56 × 23,675
  4. Step 4: Simplify right side
    72,923x = 2,589,679,458
  5. Step 5: Solve for x
    x = 2,589,679,458/72,923
  6. Step 6: Final answer
    x = 35,512.52

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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.