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Finding the Fourth Proportional to 32,654.56, 45,021.57 and 21,149.14

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Solution

The fourth proportional to 32,654.56, 45,021.57 and 21,149.14 is: 29,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.56 : 45,021.57 = 21,149.14 : x
  2. Step 2: Convert to fraction form
    32,654.56/45,021.57 = 21,149.14/x
  3. Step 3: Cross multiply
    32,654.56x = 45,021.57 × 21,149.14
  4. Step 4: Simplify right side
    32,654.56x = 952,167,486.95
  5. Step 5: Solve for x
    x = 952,167,486.95/32,654.56
  6. Step 6: Final answer
    x = 29,158.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.