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Finding the Fourth Proportional to 32,179.92, 48,277.44 and 9,992.16

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Solution

The fourth proportional to 32,179.92, 48,277.44 and 9,992.16 is: 14,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.92 : 48,277.44 = 9,992.16 : x
  2. Step 2: Convert to fraction form
    32,179.92/48,277.44 = 9,992.16/x
  3. Step 3: Cross multiply
    32,179.92x = 48,277.44 × 9,992.16
  4. Step 4: Simplify right side
    32,179.92x = 482,395,904.87
  5. Step 5: Solve for x
    x = 482,395,904.87/32,179.92
  6. Step 6: Final answer
    x = 14,990.59

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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.