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Finding the Fourth Proportional to 32,404.86, 48,601.08 and 13,678.74

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Solution

The fourth proportional to 32,404.86, 48,601.08 and 13,678.74 is: 20,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404.86 : 48,601.08 = 13,678.74 : x
  2. Step 2: Convert to fraction form
    32,404.86/48,601.08 = 13,678.74/x
  3. Step 3: Cross multiply
    32,404.86x = 48,601.08 × 13,678.74
  4. Step 4: Simplify right side
    32,404.86x = 664,801,537.04
  5. Step 5: Solve for x
    x = 664,801,537.04/32,404.86
  6. Step 6: Final answer
    x = 20,515.49

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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.