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Finding the Fourth Proportional to 82,665.49, 123,910.43 and 52,585.09

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Solution

The fourth proportional to 82,665.49, 123,910.43 and 52,585.09 is: 78,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,665.49 : 123,910.43 = 52,585.09 : x
  2. Step 2: Convert to fraction form
    82,665.49/123,910.43 = 52,585.09/x
  3. Step 3: Cross multiply
    82,665.49x = 123,910.43 × 52,585.09
  4. Step 4: Simplify right side
    82,665.49x = 6,515,841,594.35
  5. Step 5: Solve for x
    x = 6,515,841,594.35/82,665.49
  6. Step 6: Final answer
    x = 78,821.79

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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.