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Finding the Fourth Proportional to 32,267.28, 48,400.92 and 8,893.84

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Solution

The fourth proportional to 32,267.28, 48,400.92 and 8,893.84 is: 13,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267.28 : 48,400.92 = 8,893.84 : x
  2. Step 2: Convert to fraction form
    32,267.28/48,400.92 = 8,893.84/x
  3. Step 3: Cross multiply
    32,267.28x = 48,400.92 × 8,893.84
  4. Step 4: Simplify right side
    32,267.28x = 430,470,038.33
  5. Step 5: Solve for x
    x = 430,470,038.33/32,267.28
  6. Step 6: Final answer
    x = 13,340.76

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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.