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Finding the Fourth Proportional to 41,441.94, 62,151.52 and 11,449

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Solution

The fourth proportional to 41,441.94, 62,151.52 and 11,449 is: 17,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,441.94 : 62,151.52 = 11,449 : x
  2. Step 2: Convert to fraction form
    41,441.94/62,151.52 = 11,449/x
  3. Step 3: Cross multiply
    41,441.94x = 62,151.52 × 11,449
  4. Step 4: Simplify right side
    41,441.94x = 711,572,752.48
  5. Step 5: Solve for x
    x = 711,572,752.48/41,441.94
  6. Step 6: Final answer
    x = 17,170.35

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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.