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Finding the Fourth Proportional to 33,153.44, 49,730.16 and 12,378.56

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Solution

The fourth proportional to 33,153.44, 49,730.16 and 12,378.56 is: 18,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.44 : 49,730.16 = 12,378.56 : x
  2. Step 2: Convert to fraction form
    33,153.44/49,730.16 = 12,378.56/x
  3. Step 3: Cross multiply
    33,153.44x = 49,730.16 × 12,378.56
  4. Step 4: Simplify right side
    33,153.44x = 615,587,769.37
  5. Step 5: Solve for x
    x = 615,587,769.37/33,153.44
  6. Step 6: Final answer
    x = 18,567.84

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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.