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Finding the Fourth Proportional to 30,204.70, 41,682.60 and 16,775.98

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Solution

The fourth proportional to 30,204.70, 41,682.60 and 16,775.98 is: 23,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.70 : 41,682.60 = 16,775.98 : x
  2. Step 2: Convert to fraction form
    30,204.70/41,682.60 = 16,775.98/x
  3. Step 3: Cross multiply
    30,204.70x = 41,682.60 × 16,775.98
  4. Step 4: Simplify right side
    30,204.70x = 699,266,359.74
  5. Step 5: Solve for x
    x = 699,266,359.74/30,204.70
  6. Step 6: Final answer
    x = 23,150.91

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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.