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Finding the Fourth Proportional to 39,824.68, 54,957.62 and 21,919.30

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Solution

The fourth proportional to 39,824.68, 54,957.62 and 21,919.30 is: 30,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,824.68 : 54,957.62 = 21,919.30 : x
  2. Step 2: Convert to fraction form
    39,824.68/54,957.62 = 21,919.30/x
  3. Step 3: Cross multiply
    39,824.68x = 54,957.62 × 21,919.30
  4. Step 4: Simplify right side
    39,824.68x = 1,204,632,560.07
  5. Step 5: Solve for x
    x = 1,204,632,560.07/39,824.68
  6. Step 6: Final answer
    x = 30,248.39

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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.