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Finding the Fourth Proportional to 82,666, 123,999.08 and 27,262

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Solution

The fourth proportional to 82,666, 123,999.08 and 27,262 is: 40,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666 : 123,999.08 = 27,262 : x
  2. Step 2: Convert to fraction form
    82,666/123,999.08 = 27,262/x
  3. Step 3: Cross multiply
    82,666x = 123,999.08 × 27,262
  4. Step 4: Simplify right side
    82,666x = 3,380,462,918.96
  5. Step 5: Solve for x
    x = 3,380,462,918.96/82,666
  6. Step 6: Final answer
    x = 40,893.03

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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.