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Finding the Fourth Proportional to 33,154.48, 49,731.24 and 8,194.53

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Solution

The fourth proportional to 33,154.48, 49,731.24 and 8,194.53 is: 12,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.48 : 49,731.24 = 8,194.53 : x
  2. Step 2: Convert to fraction form
    33,154.48/49,731.24 = 8,194.53/x
  3. Step 3: Cross multiply
    33,154.48x = 49,731.24 × 8,194.53
  4. Step 4: Simplify right side
    33,154.48x = 407,524,138.12
  5. Step 5: Solve for x
    x = 407,524,138.12/33,154.48
  6. Step 6: Final answer
    x = 12,291.68

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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.