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Finding the Fourth Proportional to 32,129.40, 48,195.99 and 12,408.06

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Solution

The fourth proportional to 32,129.40, 48,195.99 and 12,408.06 is: 18,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.40 : 48,195.99 = 12,408.06 : x
  2. Step 2: Convert to fraction form
    32,129.40/48,195.99 = 12,408.06/x
  3. Step 3: Cross multiply
    32,129.40x = 48,195.99 × 12,408.06
  4. Step 4: Simplify right side
    32,129.40x = 598,018,735.68
  5. Step 5: Solve for x
    x = 598,018,735.68/32,129.40
  6. Step 6: Final answer
    x = 18,612.82

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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.