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Finding the Fourth Proportional to 82,563.35, 123,844.80 and 23,399.53

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Solution

The fourth proportional to 82,563.35, 123,844.80 and 23,399.53 is: 35,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,563.35 : 123,844.80 = 23,399.53 : x
  2. Step 2: Convert to fraction form
    82,563.35/123,844.80 = 23,399.53/x
  3. Step 3: Cross multiply
    82,563.35x = 123,844.80 × 23,399.53
  4. Step 4: Simplify right side
    82,563.35x = 2,897,910,456.08
  5. Step 5: Solve for x
    x = 2,897,910,456.08/82,563.35
  6. Step 6: Final answer
    x = 35,099.24

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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.