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Finding the Fourth Proportional to 82,060, 123,107.36 and 26,660.32

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Solution

The fourth proportional to 82,060, 123,107.36 and 26,660.32 is: 39,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,060 : 123,107.36 = 26,660.32 : x
  2. Step 2: Convert to fraction form
    82,060/123,107.36 = 26,660.32/x
  3. Step 3: Cross multiply
    82,060x = 123,107.36 × 26,660.32
  4. Step 4: Simplify right side
    82,060x = 3,282,081,611.96
  5. Step 5: Solve for x
    x = 3,282,081,611.96/82,060
  6. Step 6: Final answer
    x = 39,996.12

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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.