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Finding the Fourth Proportional to 32,002.10, 48,003.15 and 18,005.30

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Solution

The fourth proportional to 32,002.10, 48,003.15 and 18,005.30 is: 27,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.10 : 48,003.15 = 18,005.30 : x
  2. Step 2: Convert to fraction form
    32,002.10/48,003.15 = 18,005.30/x
  3. Step 3: Cross multiply
    32,002.10x = 48,003.15 × 18,005.30
  4. Step 4: Simplify right side
    32,002.10x = 864,311,116.70
  5. Step 5: Solve for x
    x = 864,311,116.70/32,002.10
  6. Step 6: Final answer
    x = 27,007.95

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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.