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Finding the Fourth Proportional to 30,777, 42,472.14 and 16,629.82

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Solution

The fourth proportional to 30,777, 42,472.14 and 16,629.82 is: 22,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777 : 42,472.14 = 16,629.82 : x
  2. Step 2: Convert to fraction form
    30,777/42,472.14 = 16,629.82/x
  3. Step 3: Cross multiply
    30,777x = 42,472.14 × 16,629.82
  4. Step 4: Simplify right side
    30,777x = 706,304,043.21
  5. Step 5: Solve for x
    x = 706,304,043.21/30,777
  6. Step 6: Final answer
    x = 22,949.09

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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.