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Finding the Fourth Proportional to 106,399.85, 159,623.06 and 31,525.88

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Solution

The fourth proportional to 106,399.85, 159,623.06 and 31,525.88 is: 47,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.85 : 159,623.06 = 31,525.88 : x
  2. Step 2: Convert to fraction form
    106,399.85/159,623.06 = 31,525.88/x
  3. Step 3: Cross multiply
    106,399.85x = 159,623.06 × 31,525.88
  4. Step 4: Simplify right side
    106,399.85x = 5,032,256,479.05
  5. Step 5: Solve for x
    x = 5,032,256,479.05/106,399.85
  6. Step 6: Final answer
    x = 47,295.71

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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.