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Finding the Fourth Proportional to 39,728.40, 54,821.76 and 22,729.20

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Solution

The fourth proportional to 39,728.40, 54,821.76 and 22,729.20 is: 31,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728.40 : 54,821.76 = 22,729.20 : x
  2. Step 2: Convert to fraction form
    39,728.40/54,821.76 = 22,729.20/x
  3. Step 3: Cross multiply
    39,728.40x = 54,821.76 × 22,729.20
  4. Step 4: Simplify right side
    39,728.40x = 1,246,054,747.39
  5. Step 5: Solve for x
    x = 1,246,054,747.39/39,728.40
  6. Step 6: Final answer
    x = 31,364.33

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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.