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Finding the Fourth Proportional to 41,440.94, 62,150.03 and 11,448

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Solution

The fourth proportional to 41,440.94, 62,150.03 and 11,448 is: 17,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,440.94 : 62,150.03 = 11,448 : x
  2. Step 2: Convert to fraction form
    41,440.94/62,150.03 = 11,448/x
  3. Step 3: Cross multiply
    41,440.94x = 62,150.03 × 11,448
  4. Step 4: Simplify right side
    41,440.94x = 711,493,486.20
  5. Step 5: Solve for x
    x = 711,493,486.20/41,440.94
  6. Step 6: Final answer
    x = 17,168.86

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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.