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Finding the Fourth Proportional to 82,388.80, 123,583.20 and 40,916.80

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Solution

The fourth proportional to 82,388.80, 123,583.20 and 40,916.80 is: 61,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,388.80 : 123,583.20 = 40,916.80 : x
  2. Step 2: Convert to fraction form
    82,388.80/123,583.20 = 40,916.80/x
  3. Step 3: Cross multiply
    82,388.80x = 123,583.20 × 40,916.80
  4. Step 4: Simplify right side
    82,388.80x = 5,056,629,077.76
  5. Step 5: Solve for x
    x = 5,056,629,077.76/82,388.80
  6. Step 6: Final answer
    x = 61,375.20

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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.