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Finding the Fourth Proportional to 106,394.97, 159,597.94 and 27,509.88

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Solution

The fourth proportional to 106,394.97, 159,597.94 and 27,509.88 is: 41,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.97 : 159,597.94 = 27,509.88 : x
  2. Step 2: Convert to fraction form
    106,394.97/159,597.94 = 27,509.88/x
  3. Step 3: Cross multiply
    106,394.97x = 159,597.94 × 27,509.88
  4. Step 4: Simplify right side
    106,394.97x = 4,390,520,177.65
  5. Step 5: Solve for x
    x = 4,390,520,177.65/106,394.97
  6. Step 6: Final answer
    x = 41,266.24

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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.