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Finding the Fourth Proportional to 38,964.30, 53,757.84 and 21,966.42

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Solution

The fourth proportional to 38,964.30, 53,757.84 and 21,966.42 is: 30,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964.30 : 53,757.84 = 21,966.42 : x
  2. Step 2: Convert to fraction form
    38,964.30/53,757.84 = 21,966.42/x
  3. Step 3: Cross multiply
    38,964.30x = 53,757.84 × 21,966.42
  4. Step 4: Simplify right side
    38,964.30x = 1,180,867,291.73
  5. Step 5: Solve for x
    x = 1,180,867,291.73/38,964.30
  6. Step 6: Final answer
    x = 30,306.39

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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.