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Finding the Fourth Proportional to 32,771.10, 45,224.16 and 18,431.76

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Solution

The fourth proportional to 32,771.10, 45,224.16 and 18,431.76 is: 25,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.10 : 45,224.16 = 18,431.76 : x
  2. Step 2: Convert to fraction form
    32,771.10/45,224.16 = 18,431.76/x
  3. Step 3: Cross multiply
    32,771.10x = 45,224.16 × 18,431.76
  4. Step 4: Simplify right side
    32,771.10x = 833,560,863.32
  5. Step 5: Solve for x
    x = 833,560,863.32/32,771.10
  6. Step 6: Final answer
    x = 25,435.85

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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.