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Finding the Fourth Proportional to 106,615.92, 159,924.44 and 44,286.48

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Solution

The fourth proportional to 106,615.92, 159,924.44 and 44,286.48 is: 66,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615.92 : 159,924.44 = 44,286.48 : x
  2. Step 2: Convert to fraction form
    106,615.92/159,924.44 = 44,286.48/x
  3. Step 3: Cross multiply
    106,615.92x = 159,924.44 × 44,286.48
  4. Step 4: Simplify right side
    106,615.92x = 7,082,490,513.57
  5. Step 5: Solve for x
    x = 7,082,490,513.57/106,615.92
  6. Step 6: Final answer
    x = 66,429.95

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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.