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Finding the Fourth Proportional to 106,417.80, 159,633.99 and 27,540

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Solution

The fourth proportional to 106,417.80, 159,633.99 and 27,540 is: 41,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,417.80 : 159,633.99 = 27,540 : x
  2. Step 2: Convert to fraction form
    106,417.80/159,633.99 = 27,540/x
  3. Step 3: Cross multiply
    106,417.80x = 159,633.99 × 27,540
  4. Step 4: Simplify right side
    106,417.80x = 4,396,320,084.60
  5. Step 5: Solve for x
    x = 4,396,320,084.60/106,417.80
  6. Step 6: Final answer
    x = 41,311.89

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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.