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Finding the Fourth Proportional to 41,972.42, 57,924.08 and 23,824.43

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Solution

The fourth proportional to 41,972.42, 57,924.08 and 23,824.43 is: 32,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,972.42 : 57,924.08 = 23,824.43 : x
  2. Step 2: Convert to fraction form
    41,972.42/57,924.08 = 23,824.43/x
  3. Step 3: Cross multiply
    41,972.42x = 57,924.08 × 23,824.43
  4. Step 4: Simplify right side
    41,972.42x = 1,380,007,780.53
  5. Step 5: Solve for x
    x = 1,380,007,780.53/41,972.42
  6. Step 6: Final answer
    x = 32,878.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.