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Finding the Fourth Proportional to 54,446.34, 81,630.90 and 21,138.33

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Solution

The fourth proportional to 54,446.34, 81,630.90 and 21,138.33 is: 31,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,446.34 : 81,630.90 = 21,138.33 : x
  2. Step 2: Convert to fraction form
    54,446.34/81,630.90 = 21,138.33/x
  3. Step 3: Cross multiply
    54,446.34x = 81,630.90 × 21,138.33
  4. Step 4: Simplify right side
    54,446.34x = 1,725,540,796.71
  5. Step 5: Solve for x
    x = 1,725,540,796.71/54,446.34
  6. Step 6: Final answer
    x = 31,692.50

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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.