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Finding the Fourth Proportional to 32,002.30, 48,003.45 and 16,255.90

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Solution

The fourth proportional to 32,002.30, 48,003.45 and 16,255.90 is: 24,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.30 : 48,003.45 = 16,255.90 : x
  2. Step 2: Convert to fraction form
    32,002.30/48,003.45 = 16,255.90/x
  3. Step 3: Cross multiply
    32,002.30x = 48,003.45 × 16,255.90
  4. Step 4: Simplify right side
    32,002.30x = 780,339,282.86
  5. Step 5: Solve for x
    x = 780,339,282.86/32,002.30
  6. Step 6: Final answer
    x = 24,383.85

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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.