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Finding the Fourth Proportional to 106,697.38, 159,992.74 and 35,595.26

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Solution

The fourth proportional to 106,697.38, 159,992.74 and 35,595.26 is: 53,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,697.38 : 159,992.74 = 35,595.26 : x
  2. Step 2: Convert to fraction form
    106,697.38/159,992.74 = 35,595.26/x
  3. Step 3: Cross multiply
    106,697.38x = 159,992.74 × 35,595.26
  4. Step 4: Simplify right side
    106,697.38x = 5,694,983,178.41
  5. Step 5: Solve for x
    x = 5,694,983,178.41/106,697.38
  6. Step 6: Final answer
    x = 53,375.10

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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.