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Finding the Fourth Proportional to 82,424.40, 123,616.80 and 23,265.60

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Solution

The fourth proportional to 82,424.40, 123,616.80 and 23,265.60 is: 34,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424.40 : 123,616.80 = 23,265.60 : x
  2. Step 2: Convert to fraction form
    82,424.40/123,616.80 = 23,265.60/x
  3. Step 3: Cross multiply
    82,424.40x = 123,616.80 × 23,265.60
  4. Step 4: Simplify right side
    82,424.40x = 2,876,019,022.08
  5. Step 5: Solve for x
    x = 2,876,019,022.08/82,424.40
  6. Step 6: Final answer
    x = 34,892.81

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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.