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Finding the Fourth Proportional to 32,216.33, 48,343.64 and 17,424.92

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Solution

The fourth proportional to 32,216.33, 48,343.64 and 17,424.92 is: 26,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216.33 : 48,343.64 = 17,424.92 : x
  2. Step 2: Convert to fraction form
    32,216.33/48,343.64 = 17,424.92/x
  3. Step 3: Cross multiply
    32,216.33x = 48,343.64 × 17,424.92
  4. Step 4: Simplify right side
    32,216.33x = 842,384,093.24
  5. Step 5: Solve for x
    x = 842,384,093.24/32,216.33
  6. Step 6: Final answer
    x = 26,147.73

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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.