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Finding the Fourth Proportional to 82,102.80, 123,202.83 and 34,715.30

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Solution

The fourth proportional to 82,102.80, 123,202.83 and 34,715.30 is: 52,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.80 : 123,202.83 = 34,715.30 : x
  2. Step 2: Convert to fraction form
    82,102.80/123,202.83 = 34,715.30/x
  3. Step 3: Cross multiply
    82,102.80x = 123,202.83 × 34,715.30
  4. Step 4: Simplify right side
    82,102.80x = 4,277,023,204.30
  5. Step 5: Solve for x
    x = 4,277,023,204.30/82,102.80
  6. Step 6: Final answer
    x = 52,093.51

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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.