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Finding the Fourth Proportional to 32,524.66, 48,782.94 and 10,338.22

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Solution

The fourth proportional to 32,524.66, 48,782.94 and 10,338.22 is: 15,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.66 : 48,782.94 = 10,338.22 : x
  2. Step 2: Convert to fraction form
    32,524.66/48,782.94 = 10,338.22/x
  3. Step 3: Cross multiply
    32,524.66x = 48,782.94 × 10,338.22
  4. Step 4: Simplify right side
    32,524.66x = 504,328,765.97
  5. Step 5: Solve for x
    x = 504,328,765.97/32,524.66
  6. Step 6: Final answer
    x = 15,506.04

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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.