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Finding the Fourth Proportional to 35,452.80, 48,942.36 and 24,180.84

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Solution

The fourth proportional to 35,452.80, 48,942.36 and 24,180.84 is: 33,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452.80 : 48,942.36 = 24,180.84 : x
  2. Step 2: Convert to fraction form
    35,452.80/48,942.36 = 24,180.84/x
  3. Step 3: Cross multiply
    35,452.80x = 48,942.36 × 24,180.84
  4. Step 4: Simplify right side
    35,452.80x = 1,183,467,376.38
  5. Step 5: Solve for x
    x = 1,183,467,376.38/35,452.80
  6. Step 6: Final answer
    x = 33,381.49

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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.