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Finding the Fourth Proportional to 45,314.66, 67,902.12 and 24,257.49

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Solution

The fourth proportional to 45,314.66, 67,902.12 and 24,257.49 is: 36,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.66 : 67,902.12 = 24,257.49 : x
  2. Step 2: Convert to fraction form
    45,314.66/67,902.12 = 24,257.49/x
  3. Step 3: Cross multiply
    45,314.66x = 67,902.12 × 24,257.49
  4. Step 4: Simplify right side
    45,314.66x = 1,647,134,996.88
  5. Step 5: Solve for x
    x = 1,647,134,996.88/45,314.66
  6. Step 6: Final answer
    x = 36,348.84

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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.