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Finding the Fourth Proportional to 106,490.10, 159,735 and 27,604.40

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Solution

The fourth proportional to 106,490.10, 159,735 and 27,604.40 is: 41,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.10 : 159,735 = 27,604.40 : x
  2. Step 2: Convert to fraction form
    106,490.10/159,735 = 27,604.40/x
  3. Step 3: Cross multiply
    106,490.10x = 159,735 × 27,604.40
  4. Step 4: Simplify right side
    106,490.10x = 4,409,388,834
  5. Step 5: Solve for x
    x = 4,409,388,834/106,490.10
  6. Step 6: Final answer
    x = 41,406.56

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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.