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Finding the Fourth Proportional to 30,524.20, 45,786.14 and 9,747.24

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Solution

The fourth proportional to 30,524.20, 45,786.14 and 9,747.24 is: 14,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.20 : 45,786.14 = 9,747.24 : x
  2. Step 2: Convert to fraction form
    30,524.20/45,786.14 = 9,747.24/x
  3. Step 3: Cross multiply
    30,524.20x = 45,786.14 × 9,747.24
  4. Step 4: Simplify right side
    30,524.20x = 446,288,495.25
  5. Step 5: Solve for x
    x = 446,288,495.25/30,524.20
  6. Step 6: Final answer
    x = 14,620.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.