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Finding the Fourth Proportional to 29,968.35, 44,972.60 and 12,438.20

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Solution

The fourth proportional to 29,968.35, 44,972.60 and 12,438.20 is: 18,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.35 : 44,972.60 = 12,438.20 : x
  2. Step 2: Convert to fraction form
    29,968.35/44,972.60 = 12,438.20/x
  3. Step 3: Cross multiply
    29,968.35x = 44,972.60 × 12,438.20
  4. Step 4: Simplify right side
    29,968.35x = 559,378,074.91
  5. Step 5: Solve for x
    x = 559,378,074.91/29,968.35
  6. Step 6: Final answer
    x = 18,665.63

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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.