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Finding the Fourth Proportional to 32,286.45, 48,421.97 and 13,566.84

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Solution

The fourth proportional to 32,286.45, 48,421.97 and 13,566.84 is: 20,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.45 : 48,421.97 = 13,566.84 : x
  2. Step 2: Convert to fraction form
    32,286.45/48,421.97 = 13,566.84/x
  3. Step 3: Cross multiply
    32,286.45x = 48,421.97 × 13,566.84
  4. Step 4: Simplify right side
    32,286.45x = 656,933,051.64
  5. Step 5: Solve for x
    x = 656,933,051.64/32,286.45
  6. Step 6: Final answer
    x = 20,347.02

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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.