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Finding the Fourth Proportional to 32,198.56, 48,306.50 and 13,468.72

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Solution

The fourth proportional to 32,198.56, 48,306.50 and 13,468.72 is: 20,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.56 : 48,306.50 = 13,468.72 : x
  2. Step 2: Convert to fraction form
    32,198.56/48,306.50 = 13,468.72/x
  3. Step 3: Cross multiply
    32,198.56x = 48,306.50 × 13,468.72
  4. Step 4: Simplify right side
    32,198.56x = 650,626,722.68
  5. Step 5: Solve for x
    x = 650,626,722.68/32,198.56
  6. Step 6: Final answer
    x = 20,206.70

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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.