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Finding the Fourth Proportional to 32,781.86, 49,171.52 and 9,408.30

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Solution

The fourth proportional to 32,781.86, 49,171.52 and 9,408.30 is: 14,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.86 : 49,171.52 = 9,408.30 : x
  2. Step 2: Convert to fraction form
    32,781.86/49,171.52 = 9,408.30/x
  3. Step 3: Cross multiply
    32,781.86x = 49,171.52 × 9,408.30
  4. Step 4: Simplify right side
    32,781.86x = 462,620,411.62
  5. Step 5: Solve for x
    x = 462,620,411.62/32,781.86
  6. Step 6: Final answer
    x = 14,112.09

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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.