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Finding the Fourth Proportional to 81,605.71, 122,394.45 and 21,634.58

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Solution

The fourth proportional to 81,605.71, 122,394.45 and 21,634.58 is: 32,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,605.71 : 122,394.45 = 21,634.58 : x
  2. Step 2: Convert to fraction form
    81,605.71/122,394.45 = 21,634.58/x
  3. Step 3: Cross multiply
    81,605.71x = 122,394.45 × 21,634.58
  4. Step 4: Simplify right side
    81,605.71x = 2,647,952,520.08
  5. Step 5: Solve for x
    x = 2,647,952,520.08/81,605.71
  6. Step 6: Final answer
    x = 32,448.13

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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.