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Finding the Fourth Proportional to 82,409.60, 123,614.40 and 50,916.80

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Solution

The fourth proportional to 82,409.60, 123,614.40 and 50,916.80 is: 76,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.60 : 123,614.40 = 50,916.80 : x
  2. Step 2: Convert to fraction form
    82,409.60/123,614.40 = 50,916.80/x
  3. Step 3: Cross multiply
    82,409.60x = 123,614.40 × 50,916.80
  4. Step 4: Simplify right side
    82,409.60x = 6,294,049,681.92
  5. Step 5: Solve for x
    x = 6,294,049,681.92/82,409.60
  6. Step 6: Final answer
    x = 76,375.20

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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.