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Finding the Fourth Proportional to 32,992.20, 49,511.40 and 12,233.16

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Solution

The fourth proportional to 32,992.20, 49,511.40 and 12,233.16 is: 18,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.20 : 49,511.40 = 12,233.16 : x
  2. Step 2: Convert to fraction form
    32,992.20/49,511.40 = 12,233.16/x
  3. Step 3: Cross multiply
    32,992.20x = 49,511.40 × 12,233.16
  4. Step 4: Simplify right side
    32,992.20x = 605,680,878.02
  5. Step 5: Solve for x
    x = 605,680,878.02/32,992.20
  6. Step 6: Final answer
    x = 18,358.31

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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.