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Finding the Fourth Proportional to 32,524.08, 48,786.12 and 9,150.52

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Solution

The fourth proportional to 32,524.08, 48,786.12 and 9,150.52 is: 13,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.08 : 48,786.12 = 9,150.52 : x
  2. Step 2: Convert to fraction form
    32,524.08/48,786.12 = 9,150.52/x
  3. Step 3: Cross multiply
    32,524.08x = 48,786.12 × 9,150.52
  4. Step 4: Simplify right side
    32,524.08x = 446,418,366.78
  5. Step 5: Solve for x
    x = 446,418,366.78/32,524.08
  6. Step 6: Final answer
    x = 13,725.78

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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.