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Finding the Fourth Proportional to 32,134.10, 48,149.31 and 16,504.34

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Solution

The fourth proportional to 32,134.10, 48,149.31 and 16,504.34 is: 24,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.10 : 48,149.31 = 16,504.34 : x
  2. Step 2: Convert to fraction form
    32,134.10/48,149.31 = 16,504.34/x
  3. Step 3: Cross multiply
    32,134.10x = 48,149.31 × 16,504.34
  4. Step 4: Simplify right side
    32,134.10x = 794,672,583.01
  5. Step 5: Solve for x
    x = 794,672,583.01/32,134.10
  6. Step 6: Final answer
    x = 24,729.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.