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Finding the Fourth Proportional to 106,342.48, 159,458.53 and 31,452.78

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Solution

The fourth proportional to 106,342.48, 159,458.53 and 31,452.78 is: 47,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.48 : 159,458.53 = 31,452.78 : x
  2. Step 2: Convert to fraction form
    106,342.48/159,458.53 = 31,452.78/x
  3. Step 3: Cross multiply
    106,342.48x = 159,458.53 × 31,452.78
  4. Step 4: Simplify right side
    106,342.48x = 5,015,414,063.21
  5. Step 5: Solve for x
    x = 5,015,414,063.21/106,342.48
  6. Step 6: Final answer
    x = 47,162.85

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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.