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Finding the Fourth Proportional to 30,076.24, 41,505.29 and 16,648.42

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Solution

The fourth proportional to 30,076.24, 41,505.29 and 16,648.42 is: 22,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.24 : 41,505.29 = 16,648.42 : x
  2. Step 2: Convert to fraction form
    30,076.24/41,505.29 = 16,648.42/x
  3. Step 3: Cross multiply
    30,076.24x = 41,505.29 × 16,648.42
  4. Step 4: Simplify right side
    30,076.24x = 690,997,500.14
  5. Step 5: Solve for x
    x = 690,997,500.14/30,076.24
  6. Step 6: Final answer
    x = 22,974.86

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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.