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Finding the Fourth Proportional to 82,419.60, 123,629.40 and 61,424.40

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Solution

The fourth proportional to 82,419.60, 123,629.40 and 61,424.40 is: 92,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.60 : 123,629.40 = 61,424.40 : x
  2. Step 2: Convert to fraction form
    82,419.60/123,629.40 = 61,424.40/x
  3. Step 3: Cross multiply
    82,419.60x = 123,629.40 × 61,424.40
  4. Step 4: Simplify right side
    82,419.60x = 7,593,861,717.36
  5. Step 5: Solve for x
    x = 7,593,861,717.36/82,419.60
  6. Step 6: Final answer
    x = 92,136.60

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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.