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Finding the Fourth Proportional to 30,523.14, 45,777.53 and 8,331.23

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Solution

The fourth proportional to 30,523.14, 45,777.53 and 8,331.23 is: 12,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.14 : 45,777.53 = 8,331.23 : x
  2. Step 2: Convert to fraction form
    30,523.14/45,777.53 = 8,331.23/x
  3. Step 3: Cross multiply
    30,523.14x = 45,777.53 × 8,331.23
  4. Step 4: Simplify right side
    30,523.14x = 381,383,266.53
  5. Step 5: Solve for x
    x = 381,383,266.53/30,523.14
  6. Step 6: Final answer
    x = 12,494.89

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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.