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Finding the Fourth Proportional to 82,057.80, 123,086.70 and 29,472.60

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Solution

The fourth proportional to 82,057.80, 123,086.70 and 29,472.60 is: 44,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.80 : 123,086.70 = 29,472.60 : x
  2. Step 2: Convert to fraction form
    82,057.80/123,086.70 = 29,472.60/x
  3. Step 3: Cross multiply
    82,057.80x = 123,086.70 × 29,472.60
  4. Step 4: Simplify right side
    82,057.80x = 3,627,685,074.42
  5. Step 5: Solve for x
    x = 3,627,685,074.42/82,057.80
  6. Step 6: Final answer
    x = 44,208.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.