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Finding the Fourth Proportional to 32,049.10, 48,090.90 and 13,342.06

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Solution

The fourth proportional to 32,049.10, 48,090.90 and 13,342.06 is: 20,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.10 : 48,090.90 = 13,342.06 : x
  2. Step 2: Convert to fraction form
    32,049.10/48,090.90 = 13,342.06/x
  3. Step 3: Cross multiply
    32,049.10x = 48,090.90 × 13,342.06
  4. Step 4: Simplify right side
    32,049.10x = 641,631,673.25
  5. Step 5: Solve for x
    x = 641,631,673.25/32,049.10
  6. Step 6: Final answer
    x = 20,020.27

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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.