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Finding the Fourth Proportional to 82,004.80, 123,000 and 22,836.64

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Solution

The fourth proportional to 82,004.80, 123,000 and 22,836.64 is: 34,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004.80 : 123,000 = 22,836.64 : x
  2. Step 2: Convert to fraction form
    82,004.80/123,000 = 22,836.64/x
  3. Step 3: Cross multiply
    82,004.80x = 123,000 × 22,836.64
  4. Step 4: Simplify right side
    82,004.80x = 2,808,906,720
  5. Step 5: Solve for x
    x = 2,808,906,720/82,004.80
  6. Step 6: Final answer
    x = 34,252.95

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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.