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Finding the Fourth Proportional to 32,003.10, 48,003.57 and 21,548.16

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Solution

The fourth proportional to 32,003.10, 48,003.57 and 21,548.16 is: 32,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.10 : 48,003.57 = 21,548.16 : x
  2. Step 2: Convert to fraction form
    32,003.10/48,003.57 = 21,548.16/x
  3. Step 3: Cross multiply
    32,003.10x = 48,003.57 × 21,548.16
  4. Step 4: Simplify right side
    32,003.10x = 1,034,388,606.93
  5. Step 5: Solve for x
    x = 1,034,388,606.93/32,003.10
  6. Step 6: Final answer
    x = 32,321.51

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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.