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Finding the Fourth Proportional to 39,729.12, 54,822.94 and 21,824.04

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Solution

The fourth proportional to 39,729.12, 54,822.94 and 21,824.04 is: 30,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,729.12 : 54,822.94 = 21,824.04 : x
  2. Step 2: Convert to fraction form
    39,729.12/54,822.94 = 21,824.04/x
  3. Step 3: Cross multiply
    39,729.12x = 54,822.94 × 21,824.04
  4. Step 4: Simplify right side
    39,729.12x = 1,196,458,035.48
  5. Step 5: Solve for x
    x = 1,196,458,035.48/39,729.12
  6. Step 6: Final answer
    x = 30,115.39

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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.