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Finding the Fourth Proportional to 49,442.49, 74,163.15 and 12,002.94

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Solution

The fourth proportional to 49,442.49, 74,163.15 and 12,002.94 is: 18,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442.49 : 74,163.15 = 12,002.94 : x
  2. Step 2: Convert to fraction form
    49,442.49/74,163.15 = 12,002.94/x
  3. Step 3: Cross multiply
    49,442.49x = 74,163.15 × 12,002.94
  4. Step 4: Simplify right side
    49,442.49x = 890,175,839.66
  5. Step 5: Solve for x
    x = 890,175,839.66/49,442.49
  6. Step 6: Final answer
    x = 18,004.27

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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.