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Finding the Fourth Proportional to 82,372.80, 123,674.40 and 51,268.80

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Solution

The fourth proportional to 82,372.80, 123,674.40 and 51,268.80 is: 76,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,372.80 : 123,674.40 = 51,268.80 : x
  2. Step 2: Convert to fraction form
    82,372.80/123,674.40 = 51,268.80/x
  3. Step 3: Cross multiply
    82,372.80x = 123,674.40 × 51,268.80
  4. Step 4: Simplify right side
    82,372.80x = 6,340,638,078.72
  5. Step 5: Solve for x
    x = 6,340,638,078.72/82,372.80
  6. Step 6: Final answer
    x = 76,974.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.