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Finding the Fourth Proportional to 106,597.28, 159,868.04 and 31,697.24

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Solution

The fourth proportional to 106,597.28, 159,868.04 and 31,697.24 is: 47,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.28 : 159,868.04 = 31,697.24 : x
  2. Step 2: Convert to fraction form
    106,597.28/159,868.04 = 31,697.24/x
  3. Step 3: Cross multiply
    106,597.28x = 159,868.04 × 31,697.24
  4. Step 4: Simplify right side
    106,597.28x = 5,067,375,632.21
  5. Step 5: Solve for x
    x = 5,067,375,632.21/106,597.28
  6. Step 6: Final answer
    x = 47,537.57

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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.