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Finding the Fourth Proportional to 82,634.77, 123,942.16 and 22,668.13

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Solution

The fourth proportional to 82,634.77, 123,942.16 and 22,668.13 is: 33,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,634.77 : 123,942.16 = 22,668.13 : x
  2. Step 2: Convert to fraction form
    82,634.77/123,942.16 = 22,668.13/x
  3. Step 3: Cross multiply
    82,634.77x = 123,942.16 × 22,668.13
  4. Step 4: Simplify right side
    82,634.77x = 2,809,536,594.11
  5. Step 5: Solve for x
    x = 2,809,536,594.11/82,634.77
  6. Step 6: Final answer
    x = 33,999.45

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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.