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Finding the Fourth Proportional to 106,577.76, 159,866.52 and 31,697.56

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Solution

The fourth proportional to 106,577.76, 159,866.52 and 31,697.56 is: 47,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,577.76 : 159,866.52 = 31,697.56 : x
  2. Step 2: Convert to fraction form
    106,577.76/159,866.52 = 31,697.56/x
  3. Step 3: Cross multiply
    106,577.76x = 159,866.52 × 31,697.56
  4. Step 4: Simplify right side
    106,577.76x = 5,067,378,609.69
  5. Step 5: Solve for x
    x = 5,067,378,609.69/106,577.76
  6. Step 6: Final answer
    x = 47,546.30

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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.