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Finding the Fourth Proportional to 109,630.89, 164,446.34 and 26,524.89

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Solution

The fourth proportional to 109,630.89, 164,446.34 and 26,524.89 is: 39,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630.89 : 164,446.34 = 26,524.89 : x
  2. Step 2: Convert to fraction form
    109,630.89/164,446.34 = 26,524.89/x
  3. Step 3: Cross multiply
    109,630.89x = 164,446.34 × 26,524.89
  4. Step 4: Simplify right side
    109,630.89x = 4,361,921,351.27
  5. Step 5: Solve for x
    x = 4,361,921,351.27/109,630.89
  6. Step 6: Final answer
    x = 39,787.34

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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.