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Finding the Fourth Proportional to 32,005.20, 48,022.20 and 11,243.60

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Solution

The fourth proportional to 32,005.20, 48,022.20 and 11,243.60 is: 16,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.20 : 48,022.20 = 11,243.60 : x
  2. Step 2: Convert to fraction form
    32,005.20/48,022.20 = 11,243.60/x
  3. Step 3: Cross multiply
    32,005.20x = 48,022.20 × 11,243.60
  4. Step 4: Simplify right side
    32,005.20x = 539,942,407.92
  5. Step 5: Solve for x
    x = 539,942,407.92/32,005.20
  6. Step 6: Final answer
    x = 16,870.46

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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.