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Finding the Fourth Proportional to 82,295.80, 123,414.90 and 42,839.80

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Solution

The fourth proportional to 82,295.80, 123,414.90 and 42,839.80 is: 64,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,295.80 : 123,414.90 = 42,839.80 : x
  2. Step 2: Convert to fraction form
    82,295.80/123,414.90 = 42,839.80/x
  3. Step 3: Cross multiply
    82,295.80x = 123,414.90 × 42,839.80
  4. Step 4: Simplify right side
    82,295.80x = 5,287,069,633.02
  5. Step 5: Solve for x
    x = 5,287,069,633.02/82,295.80
  6. Step 6: Final answer
    x = 64,244.71

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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.