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Finding the Fourth Proportional to 30,175.29, 45,234.91 and 16,144.99

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Solution

The fourth proportional to 30,175.29, 45,234.91 and 16,144.99 is: 24,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.29 : 45,234.91 = 16,144.99 : x
  2. Step 2: Convert to fraction form
    30,175.29/45,234.91 = 16,144.99/x
  3. Step 3: Cross multiply
    30,175.29x = 45,234.91 × 16,144.99
  4. Step 4: Simplify right side
    30,175.29x = 730,317,169.60
  5. Step 5: Solve for x
    x = 730,317,169.60/30,175.29
  6. Step 6: Final answer
    x = 24,202.49

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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.