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Finding the Fourth Proportional to 59,586, 82,230.84 and 32,731.02

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Solution

The fourth proportional to 59,586, 82,230.84 and 32,731.02 is: 45,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 82,230.84 = 32,731.02 : x
  2. Step 2: Convert to fraction form
    59,586/82,230.84 = 32,731.02/x
  3. Step 3: Cross multiply
    59,586x = 82,230.84 × 32,731.02
  4. Step 4: Simplify right side
    59,586x = 2,691,499,268.66
  5. Step 5: Solve for x
    x = 2,691,499,268.66/59,586
  6. Step 6: Final answer
    x = 45,169.99

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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.