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Finding the Fourth Proportional to 101,909.26, 152,863.89 and 31,794.04

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Solution

The fourth proportional to 101,909.26, 152,863.89 and 31,794.04 is: 47,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.26 : 152,863.89 = 31,794.04 : x
  2. Step 2: Convert to fraction form
    101,909.26/152,863.89 = 31,794.04/x
  3. Step 3: Cross multiply
    101,909.26x = 152,863.89 × 31,794.04
  4. Step 4: Simplify right side
    101,909.26x = 4,860,160,633.22
  5. Step 5: Solve for x
    x = 4,860,160,633.22/101,909.26
  6. Step 6: Final answer
    x = 47,691.06

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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.