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Finding the Fourth Proportional to 33,184.52, 49,769.04 and 19,114.64

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Solution

The fourth proportional to 33,184.52, 49,769.04 and 19,114.64 is: 28,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.52 : 49,769.04 = 19,114.64 : x
  2. Step 2: Convert to fraction form
    33,184.52/49,769.04 = 19,114.64/x
  3. Step 3: Cross multiply
    33,184.52x = 49,769.04 × 19,114.64
  4. Step 4: Simplify right side
    33,184.52x = 951,317,282.75
  5. Step 5: Solve for x
    x = 951,317,282.75/33,184.52
  6. Step 6: Final answer
    x = 28,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.