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Finding the Fourth Proportional to 32,131.83, 48,203.42 and 12,408.74

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Solution

The fourth proportional to 32,131.83, 48,203.42 and 12,408.74 is: 18,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.83 : 48,203.42 = 12,408.74 : x
  2. Step 2: Convert to fraction form
    32,131.83/48,203.42 = 12,408.74/x
  3. Step 3: Cross multiply
    32,131.83x = 48,203.42 × 12,408.74
  4. Step 4: Simplify right side
    32,131.83x = 598,143,402.83
  5. Step 5: Solve for x
    x = 598,143,402.83/32,131.83
  6. Step 6: Final answer
    x = 18,615.29

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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.