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Finding the Fourth Proportional to 106,606.50, 159,910.56 and 36,486.42

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Solution

The fourth proportional to 106,606.50, 159,910.56 and 36,486.42 is: 54,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.50 : 159,910.56 = 36,486.42 : x
  2. Step 2: Convert to fraction form
    106,606.50/159,910.56 = 36,486.42/x
  3. Step 3: Cross multiply
    106,606.50x = 159,910.56 × 36,486.42
  4. Step 4: Simplify right side
    106,606.50x = 5,834,563,854.60
  5. Step 5: Solve for x
    x = 5,834,563,854.60/106,606.50
  6. Step 6: Final answer
    x = 54,729.91

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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.