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Finding the Fourth Proportional to 30,154.74, 41,525.82 and 28,229.31

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Solution

The fourth proportional to 30,154.74, 41,525.82 and 28,229.31 is: 38,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.74 : 41,525.82 = 28,229.31 : x
  2. Step 2: Convert to fraction form
    30,154.74/41,525.82 = 28,229.31/x
  3. Step 3: Cross multiply
    30,154.74x = 41,525.82 × 28,229.31
  4. Step 4: Simplify right side
    30,154.74x = 1,172,245,245.78
  5. Step 5: Solve for x
    x = 1,172,245,245.78/30,154.74
  6. Step 6: Final answer
    x = 38,874.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.