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Finding the Fourth Proportional to 106,524.34, 159,786.54 and 36,404.26

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Solution

The fourth proportional to 106,524.34, 159,786.54 and 36,404.26 is: 54,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524.34 : 159,786.54 = 36,404.26 : x
  2. Step 2: Convert to fraction form
    106,524.34/159,786.54 = 36,404.26/x
  3. Step 3: Cross multiply
    106,524.34x = 159,786.54 × 36,404.26
  4. Step 4: Simplify right side
    106,524.34x = 5,816,910,746.66
  5. Step 5: Solve for x
    x = 5,816,910,746.66/106,524.34
  6. Step 6: Final answer
    x = 54,606.40

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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.