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Finding the Fourth Proportional to 49,002.75, 73,504.49 and 12,066.75

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Solution

The fourth proportional to 49,002.75, 73,504.49 and 12,066.75 is: 18,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,002.75 : 73,504.49 = 12,066.75 : x
  2. Step 2: Convert to fraction form
    49,002.75/73,504.49 = 12,066.75/x
  3. Step 3: Cross multiply
    49,002.75x = 73,504.49 × 12,066.75
  4. Step 4: Simplify right side
    49,002.75x = 886,960,244.37
  5. Step 5: Solve for x
    x = 886,960,244.37/49,002.75
  6. Step 6: Final answer
    x = 18,100.21

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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.