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Finding the Fourth Proportional to 106,390.89, 159,622.79 and 36,319.41

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Solution

The fourth proportional to 106,390.89, 159,622.79 and 36,319.41 is: 54,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.89 : 159,622.79 = 36,319.41 : x
  2. Step 2: Convert to fraction form
    106,390.89/159,622.79 = 36,319.41/x
  3. Step 3: Cross multiply
    106,390.89x = 159,622.79 × 36,319.41
  4. Step 4: Simplify right side
    106,390.89x = 5,797,405,555.35
  5. Step 5: Solve for x
    x = 5,797,405,555.35/106,390.89
  6. Step 6: Final answer
    x = 54,491.56

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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.