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Finding the Fourth Proportional to 106,074.72, 159,138 and 35,954.64

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Solution

The fourth proportional to 106,074.72, 159,138 and 35,954.64 is: 53,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,074.72 : 159,138 = 35,954.64 : x
  2. Step 2: Convert to fraction form
    106,074.72/159,138 = 35,954.64/x
  3. Step 3: Cross multiply
    106,074.72x = 159,138 × 35,954.64
  4. Step 4: Simplify right side
    106,074.72x = 5,721,749,500.32
  5. Step 5: Solve for x
    x = 5,721,749,500.32/106,074.72
  6. Step 6: Final answer
    x = 53,940.75

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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.