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Finding the Fourth Proportional to 32,222.82, 48,309.92 and 21,132.30

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Solution

The fourth proportional to 32,222.82, 48,309.92 and 21,132.30 is: 31,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.82 : 48,309.92 = 21,132.30 : x
  2. Step 2: Convert to fraction form
    32,222.82/48,309.92 = 21,132.30/x
  3. Step 3: Cross multiply
    32,222.82x = 48,309.92 × 21,132.30
  4. Step 4: Simplify right side
    32,222.82x = 1,020,899,722.42
  5. Step 5: Solve for x
    x = 1,020,899,722.42/32,222.82
  6. Step 6: Final answer
    x = 31,682.51

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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.