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Finding the Fourth Proportional to 32,003.68, 48,004.56 and 8,631.52

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Solution

The fourth proportional to 32,003.68, 48,004.56 and 8,631.52 is: 12,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.68 : 48,004.56 = 8,631.52 : x
  2. Step 2: Convert to fraction form
    32,003.68/48,004.56 = 8,631.52/x
  3. Step 3: Cross multiply
    32,003.68x = 48,004.56 × 8,631.52
  4. Step 4: Simplify right side
    32,003.68x = 414,352,319.73
  5. Step 5: Solve for x
    x = 414,352,319.73/32,003.68
  6. Step 6: Final answer
    x = 12,947.02

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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.