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Finding the Fourth Proportional to 106,090.44, 159,131.52 and 35,969.88

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Solution

The fourth proportional to 106,090.44, 159,131.52 and 35,969.88 is: 53,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,090.44 : 159,131.52 = 35,969.88 : x
  2. Step 2: Convert to fraction form
    106,090.44/159,131.52 = 35,969.88/x
  3. Step 3: Cross multiply
    106,090.44x = 159,131.52 × 35,969.88
  4. Step 4: Simplify right side
    106,090.44x = 5,723,941,678.62
  5. Step 5: Solve for x
    x = 5,723,941,678.62/106,090.44
  6. Step 6: Final answer
    x = 53,953.42

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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.