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Finding the Fourth Proportional to 32,722.24, 45,142.32 and 22,108

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Solution

The fourth proportional to 32,722.24, 45,142.32 and 22,108 is: 30,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.24 : 45,142.32 = 22,108 : x
  2. Step 2: Convert to fraction form
    32,722.24/45,142.32 = 22,108/x
  3. Step 3: Cross multiply
    32,722.24x = 45,142.32 × 22,108
  4. Step 4: Simplify right side
    32,722.24x = 998,006,410.56
  5. Step 5: Solve for x
    x = 998,006,410.56/32,722.24
  6. Step 6: Final answer
    x = 30,499.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.