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Finding the Fourth Proportional to 32,230.20, 44,477.48 and 18,083

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Solution

The fourth proportional to 32,230.20, 44,477.48 and 18,083 is: 24,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.20 : 44,477.48 = 18,083 : x
  2. Step 2: Convert to fraction form
    32,230.20/44,477.48 = 18,083/x
  3. Step 3: Cross multiply
    32,230.20x = 44,477.48 × 18,083
  4. Step 4: Simplify right side
    32,230.20x = 804,286,270.84
  5. Step 5: Solve for x
    x = 804,286,270.84/32,230.20
  6. Step 6: Final answer
    x = 24,954.43

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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.