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Finding the Fourth Proportional to 32,974.72, 45,506.24 and 18,827.24

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Solution

The fourth proportional to 32,974.72, 45,506.24 and 18,827.24 is: 25,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.72 : 45,506.24 = 18,827.24 : x
  2. Step 2: Convert to fraction form
    32,974.72/45,506.24 = 18,827.24/x
  3. Step 3: Cross multiply
    32,974.72x = 45,506.24 × 18,827.24
  4. Step 4: Simplify right side
    32,974.72x = 856,756,901.98
  5. Step 5: Solve for x
    x = 856,756,901.98/32,974.72
  6. Step 6: Final answer
    x = 25,982.23

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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.