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Finding the Fourth Proportional to 32,083.28, 48,005.72 and 20,181.47

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Solution

The fourth proportional to 32,083.28, 48,005.72 and 20,181.47 is: 30,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.28 : 48,005.72 = 20,181.47 : x
  2. Step 2: Convert to fraction form
    32,083.28/48,005.72 = 20,181.47/x
  3. Step 3: Cross multiply
    32,083.28x = 48,005.72 × 20,181.47
  4. Step 4: Simplify right side
    32,083.28x = 968,825,657.07
  5. Step 5: Solve for x
    x = 968,825,657.07/32,083.28
  6. Step 6: Final answer
    x = 30,197.22

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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.