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Finding the Fourth Proportional to 106,596.29, 159,840.94 and 35,493.88

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Solution

The fourth proportional to 106,596.29, 159,840.94 and 35,493.88 is: 53,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596.29 : 159,840.94 = 35,493.88 : x
  2. Step 2: Convert to fraction form
    106,596.29/159,840.94 = 35,493.88/x
  3. Step 3: Cross multiply
    106,596.29x = 159,840.94 × 35,493.88
  4. Step 4: Simplify right side
    106,596.29x = 5,673,375,143.45
  5. Step 5: Solve for x
    x = 5,673,375,143.45/106,596.29
  6. Step 6: Final answer
    x = 53,223.01

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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.