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Finding the Fourth Proportional to 32,404.34, 48,613.29 and 13,684.43

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Solution

The fourth proportional to 32,404.34, 48,613.29 and 13,684.43 is: 20,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404.34 : 48,613.29 = 13,684.43 : x
  2. Step 2: Convert to fraction form
    32,404.34/48,613.29 = 13,684.43/x
  3. Step 3: Cross multiply
    32,404.34x = 48,613.29 × 13,684.43
  4. Step 4: Simplify right side
    32,404.34x = 665,245,164.07
  5. Step 5: Solve for x
    x = 665,245,164.07/32,404.34
  6. Step 6: Final answer
    x = 20,529.51

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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.