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Finding the Fourth Proportional to 106,472.26, 159,741.64 and 31,592.78

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Solution

The fourth proportional to 106,472.26, 159,741.64 and 31,592.78 is: 47,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.26 : 159,741.64 = 31,592.78 : x
  2. Step 2: Convert to fraction form
    106,472.26/159,741.64 = 31,592.78/x
  3. Step 3: Cross multiply
    106,472.26x = 159,741.64 × 31,592.78
  4. Step 4: Simplify right side
    106,472.26x = 5,046,681,690.65
  5. Step 5: Solve for x
    x = 5,046,681,690.65/106,472.26
  6. Step 6: Final answer
    x = 47,399.03

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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.