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Finding the Fourth Proportional to 30,430.14, 45,644.94 and 8,245.80

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Solution

The fourth proportional to 30,430.14, 45,644.94 and 8,245.80 is: 12,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.14 : 45,644.94 = 8,245.80 : x
  2. Step 2: Convert to fraction form
    30,430.14/45,644.94 = 8,245.80/x
  3. Step 3: Cross multiply
    30,430.14x = 45,644.94 × 8,245.80
  4. Step 4: Simplify right side
    30,430.14x = 376,379,046.25
  5. Step 5: Solve for x
    x = 376,379,046.25/30,430.14
  6. Step 6: Final answer
    x = 12,368.63

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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.