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Finding the Fourth Proportional to 32,199.30, 48,234.06 and 20,470.50

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Solution

The fourth proportional to 32,199.30, 48,234.06 and 20,470.50 is: 30,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.30 : 48,234.06 = 20,470.50 : x
  2. Step 2: Convert to fraction form
    32,199.30/48,234.06 = 20,470.50/x
  3. Step 3: Cross multiply
    32,199.30x = 48,234.06 × 20,470.50
  4. Step 4: Simplify right side
    32,199.30x = 987,375,325.23
  5. Step 5: Solve for x
    x = 987,375,325.23/32,199.30
  6. Step 6: Final answer
    x = 30,664.50

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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.