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Finding the Fourth Proportional to 33,078.30, 49,615.35 and 12,019.08

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Solution

The fourth proportional to 33,078.30, 49,615.35 and 12,019.08 is: 18,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.30 : 49,615.35 = 12,019.08 : x
  2. Step 2: Convert to fraction form
    33,078.30/49,615.35 = 12,019.08/x
  3. Step 3: Cross multiply
    33,078.30x = 49,615.35 × 12,019.08
  4. Step 4: Simplify right side
    33,078.30x = 596,330,860.88
  5. Step 5: Solve for x
    x = 596,330,860.88/33,078.30
  6. Step 6: Final answer
    x = 18,027.86

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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.