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Finding the Fourth Proportional to 38,441.80, 53,049.60 and 21,674.80

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Solution

The fourth proportional to 38,441.80, 53,049.60 and 21,674.80 is: 29,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.80 : 53,049.60 = 21,674.80 : x
  2. Step 2: Convert to fraction form
    38,441.80/53,049.60 = 21,674.80/x
  3. Step 3: Cross multiply
    38,441.80x = 53,049.60 × 21,674.80
  4. Step 4: Simplify right side
    38,441.80x = 1,149,839,470.08
  5. Step 5: Solve for x
    x = 1,149,839,470.08/38,441.80
  6. Step 6: Final answer
    x = 29,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.