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Finding the Fourth Proportional to 32,654.87, 45,021.45 and 21,149.32

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Solution

The fourth proportional to 32,654.87, 45,021.45 and 21,149.32 is: 29,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.87 : 45,021.45 = 21,149.32 : x
  2. Step 2: Convert to fraction form
    32,654.87/45,021.45 = 21,149.32/x
  3. Step 3: Cross multiply
    32,654.87x = 45,021.45 × 21,149.32
  4. Step 4: Simplify right side
    32,654.87x = 952,172,735.70
  5. Step 5: Solve for x
    x = 952,172,735.70/32,654.87
  6. Step 6: Final answer
    x = 29,158.67

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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.