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Finding the Fourth Proportional to 32,035.80, 48,083.22 and 16,251.90

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Solution

The fourth proportional to 32,035.80, 48,083.22 and 16,251.90 is: 24,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.80 : 48,083.22 = 16,251.90 : x
  2. Step 2: Convert to fraction form
    32,035.80/48,083.22 = 16,251.90/x
  3. Step 3: Cross multiply
    32,035.80x = 48,083.22 × 16,251.90
  4. Step 4: Simplify right side
    32,035.80x = 781,443,683.12
  5. Step 5: Solve for x
    x = 781,443,683.12/32,035.80
  6. Step 6: Final answer
    x = 24,392.83

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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.