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Finding the Fourth Proportional to 38,421.56, 53,022.17 and 21,654.56

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Solution

The fourth proportional to 38,421.56, 53,022.17 and 21,654.56 is: 29,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.56 : 53,022.17 = 21,654.56 : x
  2. Step 2: Convert to fraction form
    38,421.56/53,022.17 = 21,654.56/x
  3. Step 3: Cross multiply
    38,421.56x = 53,022.17 × 21,654.56
  4. Step 4: Simplify right side
    38,421.56x = 1,148,171,948.29
  5. Step 5: Solve for x
    x = 1,148,171,948.29/38,421.56
  6. Step 6: Final answer
    x = 29,883.53

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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.