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Finding the Fourth Proportional to 33,840.08, 50,730.96 and 13,078.16

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Solution

The fourth proportional to 33,840.08, 50,730.96 and 13,078.16 is: 19,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.08 : 50,730.96 = 13,078.16 : x
  2. Step 2: Convert to fraction form
    33,840.08/50,730.96 = 13,078.16/x
  3. Step 3: Cross multiply
    33,840.08x = 50,730.96 × 13,078.16
  4. Step 4: Simplify right side
    33,840.08x = 663,467,611.83
  5. Step 5: Solve for x
    x = 663,467,611.83/33,840.08
  6. Step 6: Final answer
    x = 19,605.97

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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.