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Finding the Fourth Proportional to 41,442.94, 62,153.02 and 11,450

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Solution

The fourth proportional to 41,442.94, 62,153.02 and 11,450 is: 17,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,442.94 : 62,153.02 = 11,450 : x
  2. Step 2: Convert to fraction form
    41,442.94/62,153.02 = 11,450/x
  3. Step 3: Cross multiply
    41,442.94x = 62,153.02 × 11,450
  4. Step 4: Simplify right side
    41,442.94x = 711,652,079
  5. Step 5: Solve for x
    x = 711,652,079/41,442.94
  6. Step 6: Final answer
    x = 17,171.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.