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Finding the Fourth Proportional to 32,205.20, 48,325.07 and 13,732.88

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Solution

The fourth proportional to 32,205.20, 48,325.07 and 13,732.88 is: 20,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.20 : 48,325.07 = 13,732.88 : x
  2. Step 2: Convert to fraction form
    32,205.20/48,325.07 = 13,732.88/x
  3. Step 3: Cross multiply
    32,205.20x = 48,325.07 × 13,732.88
  4. Step 4: Simplify right side
    32,205.20x = 663,642,180.01
  5. Step 5: Solve for x
    x = 663,642,180.01/32,205.20
  6. Step 6: Final answer
    x = 20,606.68

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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.