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Finding the Fourth Proportional to 106,471.86, 159,736.49 and 35,406

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Solution

The fourth proportional to 106,471.86, 159,736.49 and 35,406 is: 53,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.86 : 159,736.49 = 35,406 : x
  2. Step 2: Convert to fraction form
    106,471.86/159,736.49 = 35,406/x
  3. Step 3: Cross multiply
    106,471.86x = 159,736.49 × 35,406
  4. Step 4: Simplify right side
    106,471.86x = 5,655,629,987.91
  5. Step 5: Solve for x
    x = 5,655,629,987.91/106,471.86
  6. Step 6: Final answer
    x = 53,118.54

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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.